Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426br |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
103652462592 = 212 · 38 · 7 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6701,-208875] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:24:1] |
Generators of the group modulo torsion |
j |
45640908060553/142184448 |
j-invariant |
L |
6.3608745185168 |
L(r)(E,1)/r! |
Ω |
0.527777718311 |
Real period |
R |
2.0086974428035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142e1 |
Quadratic twists by: -3 |