Cardco window crank
Hello there!
Thanks for reaching out to us. I'm afraid we don't sell an exact match for this operator. We have the 39-013 operator but this has a different bearing compared to your old operator. If you were to use this, you would need a new track like the 39-507, 39-505, or 39-533. Note that the operator's arm is 13-1/2" long when measured from the gear's center to the roller's center so you'll want to do the same to confirm the length.
I wanted to add that it appears the operator has the sill cover built around it so if you change base styles using the 39-013, you would have to adapt the sill to accommodate it so this will be a project. We can't make any promises but take a look at the specifications for the parts mentioned and see what you think.
Note that the second arm in your illustration is part of the hinge, not the operator.