I don't have the number of the one in there now and no plans to take it out again and look!   It is the one that was there when we got the MH and came with the 8531-ll that is still in there, except for some burner side parts from the lll now, and a lll's circuit board.
The LS that came out of the lll I got from a guy to use for spare parts says on the edge of the shiny end: 1NT01L190F-2D 9448 M, and on the brown end it says: Elison ? not sure-hard to read and a US Pat number.
I remember the other one had a different set of numbers around the shiny part, but not what they were.  ISTR it was 8xxx instead of that 9448, not sure.   They look identical and both have the same size terminals (4 is stamped on those on the one I have out)
BTW that was a good tip to hold the burner fan end and twist off the ll's  squirrel cage to get it loose!  I never would have got that loose otherwise.  The lll's uses a clamp instead of the set screw to hold it on and it came off easier.  Whatever--I hope I am done with that!