  Let $X_0^6(1)/W_6$ be the Atkin-Lehner quotient of the Shimura curve
$X_0^6(1)$ associated to a maximal order in an indefinite quaternion algebra of
discriminant $6$ over $\mathbb Q$. By realizing modular forms on $X_0^6(1)/W_6$
in two ways, one in terms of hypergeometric functions and the other in terms of
Borcherds forms, and using Schofer's formula for values of Borcherds forms at
CM-points, we obtain special values of certain hypergeometric functions in
terms of periods of elliptic curves over $\overline\mathbb Q$ with complex
multiplication.
