Atkin-Lehner |
2- 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158k |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
6223360 |
Modular degree for the optimal curve |
Δ |
-5.8320540033395E+27 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,428264053,1364953846043] |
[a1,a2,a3,a4,a6] |
j |
321732413727591869108561898477/216002000123686212283138048 |
j-invariant |
L |
4.717001100738 |
L(r)(E,1)/r! |
Ω |
0.026801142617829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264v1 13158a1 |
Quadratic twists by: -4 -3 |