Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614q |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
19776960 |
Modular degree for the optimal curve |
Δ |
-3.4460388570747E+25 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,81130052,25650029040] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:127484:1] |
Generators of the group modulo torsion |
j |
12235137685726119176375/7139372734812459232 |
j-invariant |
L |
5.7156408290346 |
L(r)(E,1)/r! |
Ω |
0.039517691970035 |
Real period |
R |
0.80352770055857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278c1 |
Quadratic twists by: 13 |