Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450y |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
4961280 |
Modular degree for the optimal curve |
Δ |
-1.229361384115E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129122526,564735116698] |
[a1,a2,a3,a4,a6] |
Generators |
[6542:-6309:1] |
Generators of the group modulo torsion |
j |
-15237359766831865024183249/78679128583361250 |
j-invariant |
L |
5.0871745780541 |
L(r)(E,1)/r! |
Ω |
0.13601436978135 |
Real period |
R |
1.1000512809639 |
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 |
91350dz1 6090t1 |
Quadratic twists by: -3 5 |