Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658bb |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
233878585723730688 = 28 · 3 · 1310 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-664258,207020228] |
[a1,a2,a3,a4,a6] |
j |
6715432988979625/48454079232 |
j-invariant |
L |
5.0416487230986 |
L(r)(E,1)/r! |
Ω |
0.31510304520141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3666i2 |
Quadratic twists by: 13 |