Atkin-Lehner |
2- 3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030bk |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
12883494528000 = 210 · 38 · 53 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-359843,83173731] |
[a1,a2,a3,a4,a6] |
Generators |
[353:-384:1] |
Generators of the group modulo torsion |
j |
7068613385194370281/17672832000 |
j-invariant |
L |
8.4304671620892 |
L(r)(E,1)/r! |
Ω |
0.61448047082237 |
Real period |
R |
0.68598332755928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010c1 |
Quadratic twists by: -3 |