Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830bd |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
55326667135057920 = 216 · 315 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97682,3188369] |
[a1,a2,a3,a4,a6] |
j |
141395518489013209/75893919252480 |
j-invariant |
L |
4.9440753750268 |
L(r)(E,1)/r! |
Ω |
0.30900471093918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610f1 129150bf1 |
Quadratic twists by: -3 5 |