Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596a |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-6007424548379904 = -1 · 28 · 39 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 6 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13689,-3677778] |
[a1,a2,a3,a4,a6] |
j |
11664/247 |
j-invariant |
L |
6.6081733799563 |
L(r)(E,1)/r! |
Ω |
0.2065054266231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596b1 8892d1 |
Quadratic twists by: -3 13 |