The 1950s Fender Deluxe amp of the 1950s was a medium-powered unit designed to let guitarists stand out in a small group. As Blues, Western, and Rockabilly bands began getting louder, the overdriven tone of a cranked-up Deluxe found its way onto many live and recorded performances. Although relatively small in size with one twelve inch speaker, the two channels each have two inputs (four inputs) and each channel has a volume control with both channels sharing a tone control. This "Tweed Deluxe" has the classic lacquered light brown and yellow cotton twill material that makes it look like a 50s suitcase.
Being an intermediate amp, the Tweed Deluxe is not known for producing a clean tone at high volumes, but ironically, the saturated tone produced at higher volumes is the reason why it is one of the more famous amplifiers Fender ever produced. It is part of the signature tone for many musicians, a few notable examples being Larry Carlton, Rory Gallagher, Don Felder, Billy Gibbons and Neil Young. I have seen Rory and Neil use these amps for live concert events screaming to thousands in the audience through the PA system.  
Unusual for a Fender amplifier, the Deluxe 5E3 has both a feedback-less and cathode biased output stage (a distinctive combination it shares with the Vox AC30). These aspects of the circuit make a key contribution to the complex, wild and ragged sound of an overdriven 5E3 Deluxe, especially in comparison to other Fender amplifiers. This is a great recording amp!
This early example of the Deluxe "Narrow Panel" cabinet design was built in December 1955 the first year of the narrow panel era, and is one of the most popular of the intermediate Fender Tweed amplifiers.  The amp is stamped "E" for 1955 and J for December, and the Jensen speaker is dated September 1955.  I purchased the amp in the late 80s with a 1957 Stratocaster from the original owner. Although the amp was completely original, the speaker cone was torn and the leather handle was dry and falling apart. I took it to an amp restorer who showed me that many of the caps were starting to bulge and would likely harm the transformers if not replaced. I asked him to retain the originality of the amp, but make it ready to go another 30 years. He was a master Hi Fi electronics repairman and had a NOS Jensen repair kit from the 50s that he used to repair the speaker, used the finest replacement caps, and installed a reproduction leather handle. The amp still sings and I have rarely used it outside the studio (other than a few gigs and practices). This is about as original as it gets for a 60+ year old amp that was used often. The amp patina is just like it was when purchased, the original owner left his burning cigarettes on the amp when playing, all authentic smoke coloring and burn marks. I do not smoke, it does not smell like cigarettes, but the sound is Smokin'!  Good luck on catching this very rare bird!