Not the rims Mario, the hubs.
1956 and 1957 used the hubs the same as the ones in the picture Muskrat has posted, before and after those years they had different hubs.
The 1956 and 1957 are full width alloy hubs, commonly called Ariel hubs as BSA "borrowed" them from Ariel.
Just had a thought, Mario have a look underneath the motor just in front of where the sump plate bolts on, or maybe one lug further up the cases. You might find a date stamped in the cases. If there is a date it wont give you a exact date for the engine but it will give you a indication of when the cases where made.