Atkin-Lehner |
2- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102602d |
Isogeny class |
Conductor |
102602 |
Conductor |
∏ cp |
348 |
Product of Tamagawa factors cp |
deg |
783417600 |
Modular degree for the optimal curve |
Δ |
-3.2727530535195E+34 |
Discriminant |
Eigenvalues |
2- 0 3 1 1 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157201244,8703917007618759] |
[a1,a2,a3,a4,a6] |
Generators |
[5636145:11725000873:125] |
Generators of the group modulo torsion |
j |
722276795807077313223/55020590786814305709850624 |
j-invariant |
L |
14.665181669392 |
L(r)(E,1)/r! |
Ω |
0.0092713106342591 |
Real period |
R |
4.5453472823989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3538b1 |
Quadratic twists by: 29 |