Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568x |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-426105142272 = -1 · 210 · 315 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 3 -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-377,-31407] |
[a1,a2,a3,a4,a6] |
Generators |
[7576:659371:1] |
Generators of the group modulo torsion |
j |
-5802287872/416118303 |
j-invariant |
L |
3.7131663684831 |
L(r)(E,1)/r! |
Ω |
0.41555786651391 |
Real period |
R |
8.9353773991397 |
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 |
5568o1 1392n1 16704co1 |
Quadratic twists by: -4 8 -3 |