Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516i |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.9063525564775E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6807864,-6804633283] |
[a1,a2,a3,a4,a6] |
j |
74135539941376/405017091 |
j-invariant |
L |
2.99184898304 |
L(r)(E,1)/r! |
Ω |
0.093495280719825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172g1 33516x1 |
Quadratic twists by: -3 -7 |