As far as markings I dunno. On circuit boards L is typically an inductor. You may have seen their bigger counterparts in older electronics as a wire wrapped around a ring. They are used as current limiters and in passive filters mostly. You may be able to take the part off the board and there may be markings on the backside, but it's hit or miss, it also looks as if you may have some trace damage. If you can get ahold of a schematic and find the value you might try calling digikey (# at digikey.com) and talking to a tech. When they ask about the package it's a surface mount or SOIC.