Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592v |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1423577088 = 212 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12888,-567468] |
[a1,a2,a3,a4,a6] |
Generators |
[134:360:1] [228:2898:1] |
Generators of the group modulo torsion |
j |
57803487729625/347553 |
j-invariant |
L |
12.16277901622 |
L(r)(E,1)/r! |
Ω |
0.44807480184976 |
Real period |
R |
6.7861320063804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037a1 |
Quadratic twists by: -4 |