The "E" on the handle stands for "Electrolux," not Model E. The "E" appeared on every handle from the Model E through the Model L except for the Models T and G -- in other words, the E, S, AE, R, F and L.
Yours is a Model F. The front-cover bumper is one of those features that apparently got changed in-between model versions, e.g., all the changes attendant to the early and late F may not have occurred at the same time and indeed most likely did not. However, this is the first F that I've seen with the early cord winder but the front-cover bumper strips.
The F is a beautiful and elegant-looking machine, although I have always preferred the earlier version with the smaller and narrower flip-open cord winder. The later donut-style cord winder is so large that, to me, it ruins the sleek appearance of the machine.
P.S.: While the F and G were automatic machines, they were only identified as Models F and G and not Automatic F and Automatic G. The only machine of that series that was so-designated was the Automatic-E, and I assume that was to differentiate it from the earlier non-automatic Model E.
On the machine itself, it is designated as "Automatic E," but in the instruction manual it is referred to as Model E-Automatic. They basically reprinted the same instruction as the Model E but added a couple of pages to cover the new automatic features, and on those added pages it's referred to as the "E-Automatic." I've always kinda liked E-Automatic more than Automatic-E. It seems to roll off the tongue more elegantly and somehow seems more "quaint."