Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605l |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8957952 |
Modular degree for the optimal curve |
Δ |
-12557300193799235 = -1 · 5 · 715 · 232 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7- 1 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30042228,63386646642] |
[a1,a2,a3,a4,a6] |
Generators |
[3166:-1461:1] |
Generators of the group modulo torsion |
j |
-48181043296511332209/201768035 |
j-invariant |
L |
2.5211122031295 |
L(r)(E,1)/r! |
Ω |
0.26888661314022 |
Real period |
R |
2.3440290101205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000462473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515p1 129605bd1 |
Quadratic twists by: -7 -23 |