Atkin-Lehner |
3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789d |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
88845896638989 = 312 · 78 · 29 |
Discriminant |
Eigenvalues |
2 3- 1 7+ -2 7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13377,-385961] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:2887:8] |
Generators of the group modulo torsion |
j |
62992384/21141 |
j-invariant |
L |
9.7573590169858 |
L(r)(E,1)/r! |
Ω |
0.45593509079657 |
Real period |
R |
3.5667939047853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4263a1 12789p1 |
Quadratic twists by: -3 -7 |