Atkin-Lehner |
2+ 3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8658b |
Isogeny class |
Conductor |
8658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
5610384 = 24 · 36 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78,260] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:22:1] [-5:25:1] |
Generators of the group modulo torsion |
j |
72511713/7696 |
j-invariant |
L |
3.8189689483641 |
L(r)(E,1)/r! |
Ω |
2.3324830535555 |
Real period |
R |
0.81864880916161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69264bd1 962a1 112554t1 |
Quadratic twists by: -4 -3 13 |