Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368m |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
506127891456 = 210 · 32 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1992,-540] |
[a1,a2,a3,a4,a6] |
j |
854102039332/494265519 |
j-invariant |
L |
4.7118447405756 |
L(r)(E,1)/r! |
Ω |
0.78530745676261 |
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 |
8184a2 65472bn2 49104q2 |
Quadratic twists by: -4 8 -3 |