The Commissioner of Motor Vehicles shall adopt regulations in accordance with the provisions of chapter 54, setting forth the number of points chargeable against the owner of an operator’s license for conviction of any violation of the motor vehicle laws deemed appropriate by the commissioner for the assessment of such points. Such regulations shall provide specific information as to the number of points assessed for the conviction of each specified violation, the total number of points which, in a period of time specified by the commissioner, shall require a hearing before the commissioner or permit automatic suspension without prior hearing, and the period of time during which any such suspension shall extend. Such regulations shall provide that (1) not less than two points shall be assessed for conviction of a violation of subsection (d) of section 14-100a, (2) not more than one point shall be assessed for conviction of a violation of section 14-219 and (3) no points shall be assessed for an infraction or any violation specified in subsection (b) of section 51-164n for which the person sends payment of the fine and any additional fees or costs established for such infraction or violation to the Centralized Infractions Bureau in accordance with the provisions of subsection (c) of section 51-164n. If such regulations provide for participation in a driver improvement course or system for the owner of an operator’s license, the commissioner may charge a fee of fifty dollars for registration for such course or system.