Lana has multiple convergent origins. In Slavic languages, it is a short form of Svetlana or Milana. In Hawaiian, lana means "calm, still" (as of water) or "to float." In Latin, it can be a short form of Alana.
Lana was popularised by Lana Turner (1921-1995), the American actress. Today the singer Lana Del Rey (born 1985) has brought it back. The name sits in the U.S. top 350.
Lana does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Lana reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.