Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960bl |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
3.55393728576E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22251963,-40299850262] |
[a1,a2,a3,a4,a6] |
j |
408076159454905367161/1190206406250000 |
j-invariant |
L |
2.2247621741079 |
L(r)(E,1)/r! |
Ω |
0.069523817940861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870q1 123840fv1 10320bg1 |
Quadratic twists by: -4 8 -3 |