Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824v |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
675915705492701184 = 226 · 310 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68511744,218247964596] |
[a1,a2,a3,a4,a6] |
j |
8682780835539571156494337/165018482786304 |
j-invariant |
L |
2.0617430022909 |
L(r)(E,1)/r! |
Ω |
0.20617430022909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2478g2 79296bg2 59472ba2 |
Quadratic twists by: -4 8 -3 |