Written nominations of any candidate as director may be filed with the proper filing officer in accordance with the provisions of the Local Election Act [N.M. Stat. Ann. Chapter 1, Article 22]. Each nomination of any candidate shall be signed by not less than fifty qualified electors regardless of whether or not nominated, shall designate the name of the candidates and shall recite that the subscribers are qualified electors and that the candidates designated are qualified electors of the authority. No written nomination may designate more qualified electors as candidates than there are vacancies. No qualified elector may nominate more than one candidate for any vacancy.