expression, noun-modifying (irregular)
Fixed prenominal expression meaning 'well-known' or 'famous'. Used before nouns to describe someone or something that has a recognized reputation. Often interchangeable with 有名な, but 名の知れた can carry a slightly more formal or literary tone.
See also: 名 (な)
He is a well-known writer.
There are many famous tourist spots in this area.
From 名 (name, reputation) + の (possessive particle) + 知れた (perfective form of 知れる, 'to become known'). Literally 'whose name has become known'.