Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812j |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
5736960 |
Modular degree for the optimal curve |
Δ |
5.390367241202E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10478664,6758671428] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:84474:1] |
Generators of the group modulo torsion |
j |
681826635775730737152/288835693222845197 |
j-invariant |
L |
8.3115082579547 |
L(r)(E,1)/r! |
Ω |
0.10119186762602 |
Real period |
R |
0.30420788388191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868e1 |
Quadratic twists by: -3 |