Atkin-Lehner |
2- 3+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718f |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1436451072 = 28 · 3 · 74 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116904,15336105] |
[a1,a2,a3,a4,a6] |
j |
176690035566359715457/1436451072 |
j-invariant |
L |
2.0986328648288 |
L(r)(E,1)/r! |
Ω |
1.0493164324137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98154y1 |
Quadratic twists by: -3 |