Yours is a short stroke. The engine in your bike is the same design as a A10 whereas the earlier engines although similar to look at are quite different with virtually no parts interchangeable. Probably the easiest way to tell with a quick glance is the shape of the timing cover. The cover on your bike is the typical "Y" shape but if you look at the earlier motor the section that goes out to the generator is flat, it doesnt curve up. The early, or longer stroke Star Twins all have the engine prefix of Z, yours will start with a A. Just for your info the early motor has a bore and stroke of 62mm x 82mm (495cc) whereas yours is 66mm x 72.6mm (497cc).
It would appear that the earlier Star Twins are more common than the later ones like yours, maybe because the A10 had been released and people bought them instead.
You have a very nice bike, good luck with it.