If two tangents drawn from a point $$(\alpha, \beta)$$ lying on the ellipse $$25x^2 + 4y^2 = 1$$ to the parabola $$y^2 = 4x$$ are such that the slope of one tangent is four times the other, then the value of $$(10\alpha + 5)^2 + (16\beta^2 + 50)^2$$ equals ______