Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7568l |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
30998528 = 216 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,882] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:42:1] |
Generators of the group modulo torsion |
j |
154854153/7568 |
j-invariant |
L |
4.6510475860985 |
L(r)(E,1)/r! |
Ω |
2.0604552802153 |
Real period |
R |
2.257291206831 |
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 |
946a1 30272bb1 68112bn1 83248bj1 |
Quadratic twists by: -4 8 -3 -11 |