We study, within Ginzburg-Landau theory, the equilibrium properties of a color superconductor of three-flavor massless quarks near the transition temperature. We first draw the phase diagram in the space of the parameters controlling the thermodynamic-potential terms of fourth order in the pairing gap. Within the color and flavor antitriplet channel with zero total angular momentum, the phase diagram contains the color-flavor locked and two-flavor pairing phases; the limit of weak coupling is included in the color-flavor locked phase. The responses of the color-flavor locked and two-flavor condensates to external magnetic fields and rotation are then investigated by calculating the induced supercurrents. We finally discuss the effects of fluctuations in gauge fields and order parameters on the finite temperature phase transition.