Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19344q |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
6414841495296 = 28 · 314 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27212,1714440] |
[a1,a2,a3,a4,a6] |
j |
8705246901469648/25057974591 |
j-invariant |
L |
5.283470661941 |
L(r)(E,1)/r! |
Ω |
0.75478152313443 |
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 |
4836a2 77376bh2 58032bd2 |
Quadratic twists by: -4 8 -3 |