Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12696j |
Isogeny class |
Conductor |
12696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2728597506048 = 211 · 32 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203312,35352972] |
[a1,a2,a3,a4,a6] |
Generators |
[1674:11109:8] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
4.2674607235301 |
L(r)(E,1)/r! |
Ω |
0.70300649496051 |
Real period |
R |
3.0351502824806 |
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 |
25392g6 101568bg6 38088i6 24a5 |
Quadratic twists by: -4 8 -3 -23 |