Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bs |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
5.0251545504173E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2813028897,57426100576936] |
[a1,a2,a3,a4,a6] |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
4.7113993820152 |
L(r)(E,1)/r! |
Ω |
0.073615615506524 |
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 |
70560bv1 23520br1 10080t1 |
Quadratic twists by: -4 -3 -7 |