Atkin-Lehner |
3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47685i |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
13880160 |
Modular degree for the optimal curve |
Δ |
2.508305480014E+24 |
Discriminant |
Eigenvalues |
0 3+ 5- -5 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-201141495,-1095281398069] |
[a1,a2,a3,a4,a6] |
j |
129014155656627060736/359574641353125 |
j-invariant |
L |
0.20047808012928 |
L(r)(E,1)/r! |
Ω |
0.040095615969498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47685j1 |
Quadratic twists by: 17 |