Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190x |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8171520 |
Modular degree for the optimal curve |
Δ |
3158790224113854720 = 28 · 34 · 5 · 1311 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111109054,450778669616] |
[a1,a2,a3,a4,a6] |
j |
31427652507069423952801/654426190080 |
j-invariant |
L |
1.4561906612918 |
L(r)(E,1)/r! |
Ω |
0.18202384200211 |
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 |
6630x1 |
Quadratic twists by: 13 |