Atkin-Lehner |
5- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275o |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-19054220639453125 = -1 · 58 · 76 · 17 · 293 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 2 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15925,6602750] |
[a1,a2,a3,a4,a6] |
j |
1143297854375/48778804837 |
j-invariant |
L |
5.2679406069381 |
L(r)(E,1)/r! |
Ω |
0.29266336737075 |
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 |
86275h1 |
Quadratic twists by: 5 |