Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32368q |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-938727931904 = -1 · 215 · 73 · 174 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32464,-2241088] |
[a1,a2,a3,a4,a6] |
Generators |
[584:13328:1] |
Generators of the group modulo torsion |
j |
-11060825617/2744 |
j-invariant |
L |
5.8436904757687 |
L(r)(E,1)/r! |
Ω |
0.17783263898689 |
Real period |
R |
2.738384860554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046r1 129472cl1 32368y1 |
Quadratic twists by: -4 8 17 |