Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424dh |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-5.6461809741604E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,828671,-215120641] |
[a1,a2,a3,a4,a6] |
j |
240065464752030527/215384711233536 |
j-invariant |
L |
3.9219776665268 |
L(r)(E,1)/r! |
Ω |
0.10894382408222 |
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 |
47424i1 11856w1 |
Quadratic twists by: -4 8 |