Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568y |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
50112 = 26 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1044,13338] |
[a1,a2,a3,a4,a6] |
Generators |
[202:395:8] |
Generators of the group modulo torsion |
j |
1968163432768/783 |
j-invariant |
L |
2.7697087926472 |
L(r)(E,1)/r! |
Ω |
2.89312554787 |
Real period |
R |
3.8293655035971 |
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 |
5568bf1 2784c3 16704ck1 |
Quadratic twists by: -4 8 -3 |