Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gh |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-6.9343024471875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49105133,-132522832137] |
[a1,a2,a3,a4,a6] |
Generators |
[22423:3168750:1] |
Generators of the group modulo torsion |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
8.3932127662733 |
L(r)(E,1)/r! |
Ω |
0.028515043695534 |
Real period |
R |
4.0881017298778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100m1 18480ch1 |
Quadratic twists by: -4 5 |