If L51 is glowing, just fitting another L51 will only damage the new L51.
Your actual problem is a short-circuit on the 5V supply rails beyond L51. On the circuit diagrams I have, L51 is shown upper left on sheet 5 of 5 - it is an inline filter on the +5V supply rail. The only thing which could cause that to burn up would be a very low resistance down to ground from the 'filtered' side of L51. The fact that L51 is shown on the memory section of the diagram suggests that it filters the +5V supply to the memory, and that the problem is therefore in that area. Unfortunately that's about the worst area you could be looking for a short on the supply rails - it could be any of the memory ICs but it could also be one of the supply decoupling capacitors short-circuit - there will be one next to every memory IC.
If your memory ICs are soldered in (not in sockets), well, a memory IC has many soldered legs and a capacitor has just two. Guess which components you should check first?
You will need to find that short before replacing L51.