Atkin-Lehner |
3- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13869c |
Isogeny class |
Conductor |
13869 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1225423052703 = 311 · 23 · 673 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -1 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3110,41006] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:310:1] [9:112:1] |
Generators of the group modulo torsion |
j |
4561907001625/1680964407 |
j-invariant |
L |
4.298702841189 |
L(r)(E,1)/r! |
Ω |
0.78961481537417 |
Real period |
R |
0.90734173116045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4623b1 |
Quadratic twists by: -3 |