http://www.needledoctor.com/

To get a replacement stylus (needle) you need the actual make and model number of the CARTRIDGE itself.

That turntable may have been originally supplied with no cartridge at all, or fitted with any number of cartridges after sale. There is no way to know what you may have.

Personally, I would suggest a whole new cartridge, as the original may have been relatively low quality stuff.

The Ortophon Red is around $100 and would be a good choice.

LPGEAR has a wide range of possibilities for a stylus or cartridge.