Atkin-Lehner |
5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32725b |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-89482421875 = -1 · 510 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2 -2 5+ 7+ 11+ -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,14369] |
[a1,a2,a3,a4,a6] |
j |
-102400/9163 |
j-invariant |
L |
1.7672255518894 |
L(r)(E,1)/r! |
Ω |
0.88361277594587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32725q1 |
Quadratic twists by: 5 |