I can't figure out the meaning of “has strong overtones with” in the paragraph below（it's in the last sentence，does that mean “imply” or something？（I am from china，and i hope i had made my question clear）
here is the paragraph：
Shamanism is a potent source of fantasy and self-delusion. Alan Parker’s film The Wall(1982) emphasized the thin line between rock shamanism and Fascism. The concentration on image, might and moral certainty occurs in both genres. In 1976 David Bowie outraged the media and many of his fans by apparently greeting them with a Nazi salute when he arrived at Victoria railway station from the Continent. The press publicised his comment made to a Swedish reporter that ‘Britain could benefit from a Fascist leader’. Not surprisingly, Bowie later recanted, and explained his flirtation with Nazism as a by-product of physical and psychological exhaustion. However, the mythologizing aspects of Nazism, notably the passionate concern with regeneration and the search for new order, has strong overtones with the myths of finding spiritual wholeness and emotional integration through worshiping the Übermensch, the prototypal celebrity in Nietzsche’s philosophy.