Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bs |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1563722496 = 28 · 38 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44679,-3634990] |
[a1,a2,a3,a4,a6] |
j |
52852623679312/8379 |
j-invariant |
L |
2.6270218484358 |
L(r)(E,1)/r! |
Ω |
0.32837773105447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4788c2 76608fr2 6384w2 |
Quadratic twists by: -4 8 -3 |