Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200f |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6547200 |
Modular degree for the optimal curve |
Δ |
-4.5671096716404E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1758968,3373754592] |
[a1,a2,a3,a4,a6] |
Generators |
[-169191143592854:643441123002682:90096146587] |
Generators of the group modulo torsion |
j |
-23510280441297426820/178402721548453857 |
j-invariant |
L |
5.6975721441552 |
L(r)(E,1)/r! |
Ω |
0.1180969557457 |
Real period |
R |
24.122434436092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600ba1 109200cs1 |
Quadratic twists by: -4 5 |