Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930y |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-7.0656778074951E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -1 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4055816561,-99418463463115] |
[a1,a2,a3,a4,a6] |
j |
-49841557909700385914920801/47729492187500 |
j-invariant |
L |
4.8430610060784 |
L(r)(E,1)/r! |
Ω |
0.0094591036188622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910l1 |
Quadratic twists by: -23 |