Browning.com has a sn look up function under customer service.
1956
Impossible to answer without the serial number and a detailed description of all markings, features and type of action.
I have serial number 26267 X6 and it was bought for me when I turned 11 in 1970.
Your Browning auto rifle in 22LR was made between 1956 and mid 1961.
Browning's web site has a sn search function.
You will have to call Browning to find out.
You MUST call Browning.
100-1000 USD or so depending on specifics
Impossible to answer without the model, type of action and serial number.
No serial number given.
1966
The letter T prefix to your serial number indicates that your rifle was made between 1956-and mid 1961.It also indicates that it was chambered for the .22LR.