Atkin-Lehner |
3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20097g |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
131856417 = 310 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446,-3468] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:12:1] |
Generators of the group modulo torsion |
j |
13430356633/180873 |
j-invariant |
L |
2.2708429052079 |
L(r)(E,1)/r! |
Ω |
1.0399103551972 |
Real period |
R |
2.183691020922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6699b1 |
Quadratic twists by: -3 |