Atkin-Lehner |
3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6579c |
Isogeny class |
Conductor |
6579 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-20429290136961 = -1 · 39 · 176 · 43 |
Discriminant |
Eigenvalues |
-1 3- 1 -3 -3 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16412,-833848] |
[a1,a2,a3,a4,a6] |
j |
-670588189536889/28023717609 |
j-invariant |
L |
0.8415501633897 |
L(r)(E,1)/r! |
Ω |
0.21038754084743 |
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 |
105264bj1 2193b1 111843g1 |
Quadratic twists by: -4 -3 17 |