Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400cv |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1128000000000 = 212 · 3 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-147008,-21744012] |
[a1,a2,a3,a4,a6] |
j |
5489965305721/17625 |
j-invariant |
L |
0.97526837322849 |
L(r)(E,1)/r! |
Ω |
0.24381709352149 |
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 |
3525b1 11280o1 |
Quadratic twists by: -4 5 |