I don't have first hand knowledge, but it's my understanding that they're between ESP and LTD. Quoting Wikipedia:
"Edwards guitars are made by ESP Japan. They consist of very high quality copies of legendary guitars like the Les Paul, Telecaster, and Stratocaster, and also original ESP designs. The Edwards Les Paul, Tele, and Strat guitars are built specifically for the Japanese market, and are not sold in the US as they contravene Gibson and Fender patents; they can however be imported by individual buyers. The guitars consist of specifications that are at least equal to, or arguably better, than their US counterparts, including features like Seymour Duncan pickups, long tenon neck joints, quality hardware, carefully chosen tone woods, and of course the high quality workmanship that ESP Japan is known for. Edwards are gaining an increasing following amongst guitarists who have discovered the sound, playability and high standard of workmanship is to their liking."
Judging from that, and the prices used ones go around here, I'd assume they're quite good quality wise.