For additional meanings of "Archer", please see Archer.
Alpha Beta Quadrant Overview star chart

Alpha/Beta Quadrant Overview

Archer was a star in the Beta Quadrant.

In 2256, this star's location was labeled on the star chart "Alpha/Beta Quadrant Overview" in the ready room aboard the USS Discovery. The star was located in the territory of the Klingon Empire. (DIS: "Magic to Make the Sanest Man Go Mad", "The War Without, The War Within")

This star was only mentioned in writing.
According to Star Trek: Star Charts (p. 63) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), Archer was a M-class star.