Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11600z |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-380108800 = -1 · 219 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-635,-6230] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1978:1] |
Generators of the group modulo torsion |
j |
-276531705/3712 |
j-invariant |
L |
4.241636291296 |
L(r)(E,1)/r! |
Ω |
0.47514840909763 |
Real period |
R |
4.4634857342271 |
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 |
1450g1 46400bn1 104400do1 11600bc1 |
Quadratic twists by: -4 8 -3 5 |