Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ec |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
5846151300000000 = 28 · 3 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-835908,-294417312] |
[a1,a2,a3,a4,a6] |
j |
9115564624/825 |
j-invariant |
L |
5.6841398121624 |
L(r)(E,1)/r! |
Ω |
0.15789277202663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520f1 6600m1 |
Quadratic twists by: 5 -11 |