Any state savings bank shall have the power to subscribe to the capital stock and become a member of a federal reserve bank. Any such savings bank shall continue to be subject to the supervision and examination required by the laws of this state, except that the Federal Reserve Board shall have the right, if it deems necessary, to make examinations. The commissioner may disclose to the Federal Reserve Board, or to the examiners duly appointed by it, all information in reference to the affairs of any savings bank which has become, or desires to become, a member of a federal reserve bank.