Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cz |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-13238407660896000 = -1 · 28 · 35 · 53 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,56565,1962225] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-2835:1] |
Generators of the group modulo torsion |
j |
11298232190519/7472736000 |
j-invariant |
L |
16.942873772842 |
L(r)(E,1)/r! |
Ω |
0.24964808957435 |
Real period |
R |
0.56555856143555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930h1 |
Quadratic twists by: -11 |