Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696j |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1989147581908992 = -1 · 211 · 38 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8288,2123308] |
[a1,a2,a3,a4,a6] |
Generators |
[-54096497:-809253180:753571] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
4.2674607235301 |
L(r)(E,1)/r! |
Ω |
0.35150324748025 |
Real period |
R |
12.140601129922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25392g5 101568bg5 38088i5 24a6 |
Quadratic twists by: -4 8 -3 -23 |