Atkin-Lehner |
3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
24885k |
Isogeny class |
Conductor |
24885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
1.5187364906226E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -1 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3465237,2410995825] |
[a1,a2,a3,a4,a6] |
j |
6312407288015085727744/208331480195142885 |
j-invariant |
L |
3.2697431776823 |
L(r)(E,1)/r! |
Ω |
0.18165239876013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8295f1 124425r1 |
Quadratic twists by: -3 5 |