WordNet records no synonym and no antonym for conch. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
any of various edible tropical marine gastropods of the genus Strombus having a brightly-colored spiral shell with large outer lip
Synonyms, antonyms and the broader and narrower relations for conch come from Princeton University’s WordNet. Full sources and licences.