Atkin-Lehner |
3+ 11- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229b |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
60928 |
Modular degree for the optimal curve |
Δ |
-4476061161 = -1 · 33 · 114 · 132 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 1 1 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8912,326052] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-45:1] |
Generators of the group modulo torsion |
j |
-2898943792656003/165780043 |
j-invariant |
L |
4.8258334746945 |
L(r)(E,1)/r! |
Ω |
1.3042052821837 |
Real period |
R |
0.23126312739515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86229a1 |
Quadratic twists by: -3 |