Let the hyperbola \( H : \frac{x^{2}}{a^{2}} - y^{2} = 1 \) and the ellipse \( E : 3x^{2} + 4y^{2} = 12 \) be such that the length of latus rectum of \( H \) is equal to the length of latus rectum of \( E \). If \( e_{H} \) and \( e_{E} \) are the eccentricities of \( H \) and \( E \) respectively, then the value of \( 12\left(e_{H}^{2} + e_{E}^{2}\right) \) is equal to ________ .
