Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114g |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
100776960 |
Modular degree for the optimal curve |
Δ |
1.284110846127E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 5 3 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1738708250,27899924332538] |
[a1,a2,a3,a4,a6] |
Generators |
[8146404:12043723:343] |
Generators of the group modulo torsion |
j |
24082985707651896446953657/5319967583011240602 |
j-invariant |
L |
9.3200840302271 |
L(r)(E,1)/r! |
Ω |
0.057026950210454 |
Real period |
R |
1.5132682612591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242e1 |
Quadratic twists by: 17 |