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The Hasse invariant of the Tate normal form E5 and the class number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Q</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msqrt><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">โ</mml:mo><mml:mn>5</mml:mn><mml:mi>l</mml:mi></mml:mrow></mml:msqrt><mml:mo stretchy="false">)</mml:mo></mml:math>