https://www.ipdb.org/files/4858/Stern_2003_The_Lord_of_the_Rings_English_Manual_complete.pdf
don't think there is a specific LE manual. if you look at the differences I assume electronic wise they are the same (minus the option of the shaker)
Here are the factory changes that differentiate the LE version from the original version:
• The backglass is real glass (not a translite) with a mirrored gold effect.
• Extra clearcoats on playfield.
• 'Armies of Middle Earth' plastic figures were not used. Therefore, no mounting holes exist in the playfield plastics for them.
• Playfield is signed by Gary Stern and George Gomez.
• "Gold" trim. The lockdown bar, legs, hinges, and side rails are plated and polished. Gold trim around the backbox.
• Game has the option to add a Shaker Motor.
• Leg bolts and hinge bolts are brass plated.
• The speaker panel has a "500 Game Limited Edition" plate and gold painted grills.
• Certificate of Authenticity signed by Gary Stern.