depends in what context. "La cuenta" is "the account" or better known as "the bill", "la cuenta por favor". However the verb contar uses "cuenta" in the 3rd person singular "él/ella/usted cuenta" "he/she/you counts" or "he/she/you tell ..." e.g. "él cuenta una historia" or "he tells a story". "No cuenta" to me would suggest "it does not count", literally "no counts".

Thank you for your answer. If I gott it right can I say "No cuenta" when I'm trying to say that something is not that important or relevant to something? For example can I use it when I want to say that ... "You did your best but it didn't count that much under the circumstances". Thank for the examples like "la cuenta por favor" and that of "él cuenta unaq historia". Muchas cracias.

I think your example is a good one and I would say you could use it in this way but don't forget this is the present tense, and it would therefore be "does not count". Didn't count would be "no conto" (accent on "o" which I can not do on iPad)