Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402f |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
13633933456 = 24 · 116 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1051,12117] |
[a1,a2,a3,a4,a6] |
Generators |
[678:551:27] |
Generators of the group modulo torsion |
j |
72511713/7696 |
j-invariant |
L |
5.7952275696666 |
L(r)(E,1)/r! |
Ω |
1.218099547558 |
Real period |
R |
4.7575976576027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
962a1 |
Quadratic twists by: -11 |