It is that iconic Electric watch worn by Elvis Presley in the 1961 film ‘Blue Hawaii’.
Here are two examples I wrote about that are housed in the Beyer Museum. They are in really spectacular condition and as a fan of the designs from American cased watches, I was quite happy to see them in a Zurich watch museum.
I have a few newspaper clippings on S&W. If you are interested, I'll send you a PM. I don't know if your LeCoultre has a reference, but I will try to look into it when I find some free time.