Lva [adv., conj.] 'where, to where' (Horn., also lA); as a final conjunction 'that, in order that, etc.' (11.). Origin unclear. For the ending, we may compare Skt. instrumentals like yena, tena 'by which, by that'
Beekes identifies 'iva' (Ἵνα) as an adverbial-conjunctive form with an obscure etymology, connecting its stem to the IE demonstrative *h₁i- and its ending to Sanskrit directional instrumentals.
, Etymological Dictionary of Greek, 2010thesis