Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568u |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-801792 = -1 · 210 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,-2439] |
[a1,a2,a3,a4,a6] |
Generators |
[400:7981:1] |
Generators of the group modulo torsion |
j |
-4764064000/783 |
j-invariant |
L |
3.3130629888675 |
L(r)(E,1)/r! |
Ω |
0.55057834259907 |
Real period |
R |
6.0174233756231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5568l1 1392d1 16704cd1 |
Quadratic twists by: -4 8 -3 |