Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605w |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
381197466125 = 53 · 78 · 232 |
Discriminant |
Eigenvalues |
0 2 5- 7- 3 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3005,57028] |
[a1,a2,a3,a4,a6] |
j |
48234496/6125 |
j-invariant |
L |
5.5061558604913 |
L(r)(E,1)/r! |
Ω |
0.91769246277015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515a1 129605c1 |
Quadratic twists by: -7 -23 |