Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864y |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
660429143801856 = 218 · 36 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22192,-308140] |
[a1,a2,a3,a4,a6] |
j |
295102348042033/161237583936 |
j-invariant |
L |
2.5062102273307 |
L(r)(E,1)/r! |
Ω |
0.41770170455511 |
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 |
858e2 27456bo2 20592bc2 75504da2 |
Quadratic twists by: -4 8 -3 -11 |