If you will visit https://litecoin.org/#download you will see Electrum Litecoin there listed with other supported wallets. Maybe it's your eyesight indeed or you missed checking the download page. I don't have a personal experience since I am not holding LTC but I've seen several positive reviews and recommendations about it here in the forum.

Some reviews and recommendations:
https://bitcointalk.org/index.php?topic=1114996.msg11827491#msg11827491
https://bitcointalk.org/index.php?topic=1114996.msg11828850#msg11828850
https://bitcointalk.org/index.php?topic=1114996.msg12271805#msg12271805
https://bitcointalk.org/index.php?topic=1611108.msg16183210#msg16183210
https://bitcointalk.org/index.php?topic=1834739.msg18259884#msg18259884