More information is needed. First is the rifle a rimfire or centerfire model? Open the trapdoor and look at where the firing pin exits the block. If in the center, then its a centerfire. Second, what is the length of the barrel?
The U.S. Model 1865 (1st Allin Conversion) is a rimfire. The U.S. Model 1866 (2nd Allin Conversion) is a centerfire.
Regarding barrel length. The vast majority of these were Springfield Armory made with a 40" barrel and 3 bands. The type of bands (clamp or spring) depends on which variation of the Civil War rifle-musket was used in the conversion. The barrels were bored out and a .50 cal sleeve inserted. The ramrod was replaced with a rod with a cleaning jag on the end.
Most of the shorter versions have a 32" barrel with the 2 bands in the position of lower 2 bands of the 3 band rifle. These mods are not military, they were done by multiple firms in the late 1800s to make the guns more salable in the surplus market of the day. There is mention of a 36" barrel version that is assumed to be an armory modification, but these are very rare.
I'm interested in learning more about rimfire vs centerfire and barrel length.