Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984cd |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
9.3083061545021E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13542348,-19125539440] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
5.0378419029523 |
L(r)(E,1)/r! |
Ω |
0.078716279733659 |
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 |
33984r1 8496t1 11328n1 |
Quadratic twists by: -4 8 -3 |