Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046l |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
329426452103168 = 214 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17346,95951] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
6.503021611537 |
L(r)(E,1)/r! |
Ω |
0.46450154368121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368bf1 129472n1 36414z1 101150w1 |
Quadratic twists by: -4 8 -3 5 |