Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596bh |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51287040 |
Modular degree for the optimal curve |
Δ |
-1.0619691589743E+25 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -4 13- 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1138250919,14781876155566] |
[a1,a2,a3,a4,a6] |
Generators |
[19578:37544:1] |
Generators of the group modulo torsion |
j |
-397777478487155151759376/25900870105595097 |
j-invariant |
L |
4.7160186746966 |
L(r)(E,1)/r! |
Ω |
0.068451402707587 |
Real period |
R |
3.4447933190221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999580173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532r1 115596bc1 |
Quadratic twists by: -3 13 |