Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112bq |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1527582618432 = 26 · 38 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4917,118640] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:414:1] |
Generators of the group modulo torsion |
j |
281784327616/32741397 |
j-invariant |
L |
3.7001142459686 |
L(r)(E,1)/r! |
Ω |
0.81978713920681 |
Real period |
R |
0.56418826072091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bj1 28704d1 |
Quadratic twists by: -4 -3 |