Atkin-Lehner |
3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487r |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
246406065633 = 36 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 4 7- 6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12864,559969] |
[a1,a2,a3,a4,a6] |
j |
2000852317801/2094417 |
j-invariant |
L |
5.8946984117762 |
L(r)(E,1)/r! |
Ω |
0.98244973529654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461y1 663a1 |
Quadratic twists by: -3 -7 |