Atkin-Lehner |
2- 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158r |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-8526384 = -1 · 24 · 36 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -2 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49,-57] |
[a1,a2,a3,a4,a6] |
j |
18191447/11696 |
j-invariant |
L |
5.3195660158037 |
L(r)(E,1)/r! |
Ω |
1.3298915039509 |
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 |
105264bz1 1462a1 |
Quadratic twists by: -4 -3 |