Atkin-Lehner |
2- 3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59856k |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-19481152752 = -1 · 24 · 33 · 293 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,662,-1697] |
[a1,a2,a3,a4,a6] |
Generators |
[21:145:1] |
Generators of the group modulo torsion |
j |
2002264736000/1217572047 |
j-invariant |
L |
5.9903514692817 |
L(r)(E,1)/r! |
Ω |
0.70726688833803 |
Real period |
R |
1.4116197548627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14964c1 |
Quadratic twists by: -4 |