Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342bd |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1405117150272 = 26 · 36 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30918,-2094300] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:78:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
7.8765585796082 |
L(r)(E,1)/r! |
Ω |
0.36004587381228 |
Real period |
R |
1.2153634288951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736cf1 37026g1 102c1 |
Quadratic twists by: -4 -3 -11 |