Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984g |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
135300907008 = 220 · 37 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,21616] |
[a1,a2,a3,a4,a6] |
j |
3048625/708 |
j-invariant |
L |
1.9525485041906 |
L(r)(E,1)/r! |
Ω |
0.97627425209828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984bq1 1062c1 11328f1 |
Quadratic twists by: -4 8 -3 |