Let the eccentricity of an ellipse \( \dfrac{x^{2}}{a^{2}}+\dfrac{y^{2}}{b^{2}}=1 \) is reciprocal to that of the hyperbola \( 2x^{2}-2y^{2}=1 \). If the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectum of the ellipse ________ .
