Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190ba |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7967232 |
Modular degree for the optimal curve |
Δ |
5.962737741213E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25311134,48870359696] |
[a1,a2,a3,a4,a6] |
Generators |
[1506:118276:1] |
Generators of the group modulo torsion |
j |
2198425121541102649/7309688832000 |
j-invariant |
L |
6.2928828803618 |
L(r)(E,1)/r! |
Ω |
0.13512877435009 |
Real period |
R |
5.8211906711582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190cy1 |
Quadratic twists by: 13 |