Atkin-Lehner |
2- 3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592p |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
68276180717568 = 212 · 34 · 232 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128568,-17696592] |
[a1,a2,a3,a4,a6] |
Generators |
[61284:2880152:27] |
Generators of the group modulo torsion |
j |
57380695289277625/16668989433 |
j-invariant |
L |
7.1178827576385 |
L(r)(E,1)/r! |
Ω |
0.25212947660157 |
Real period |
R |
7.0577653727739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037g1 |
Quadratic twists by: -4 |