Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150c |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25720347656250000 = 24 · 34 · 512 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-661531275,-6549255961875] |
[a1,a2,a3,a4,a6] |
Generators |
[729331875:15277145400:24389] |
Generators of the group modulo torsion |
j |
2049060729827329230018537649/1646102250000 |
j-invariant |
L |
1.7546328649773 |
L(r)(E,1)/r! |
Ω |
0.029768843254695 |
Real period |
R |
14.735480738894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bj3 |
Quadratic twists by: 5 |