Atkin-Lehner |
2- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32752j |
Isogeny class |
Conductor |
32752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
281200165912576 = 226 · 232 · 892 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1397419,-635825190] |
[a1,a2,a3,a4,a6] |
j |
73678995396793198593/68652384256 |
j-invariant |
L |
0.55542817890778 |
L(r)(E,1)/r! |
Ω |
0.1388570447274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4094e2 |
Quadratic twists by: -4 |