Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11571j |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
3.1735467307201E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4542502,-2557714933] |
[a1,a2,a3,a4,a6] |
Generators |
[-817:25073:1] |
Generators of the group modulo torsion |
j |
10365949761029660215992673/3173546730720072686553 |
j-invariant |
L |
4.0381752890456 |
L(r)(E,1)/r! |
Ω |
0.10587812661459 |
Real period |
R |
0.42377605042121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34713k1 80997h1 |
Quadratic twists by: -3 -7 |