Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bz |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.4185592093566E+21 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8811000,8921214576] |
[a1,a2,a3,a4,a6] |
j |
156982476866335849/19545027428808 |
j-invariant |
L |
0.99999800648772 |
L(r)(E,1)/r! |
Ω |
0.12499975018607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114p2 10416bm2 |
Quadratic twists by: -4 -7 |