Nice yellow oven
Is this a 24" or 27" model? I can't tell from the pic.
As I remember, this basic style was made from 1954 until sometime in 1959. I would say it was probably one of the last ones, as it has the meat thermometer and window door. One of my neighbors has a very similar oven that was installed in 1955, in stainless steel - no window. I remember the former residents getting a new bake element for it right before they moved 4 years ago.
As for the model #, J507R2YE, the (J) indicates a cooking product, (507) is the particular model feature code, (R) I believe is the year, (2) not sure, but may indicate a revision, and (YE) is the Yellow color.
I'm sure someone on here will know which year is indicated by R.
The Turquoise oven you show is from the mid 60's, with the larger window and woodgrain handle. Another neighbor has one like it.