Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16856c |
Isogeny class |
Conductor |
16856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
8356747766416 = 24 · 710 · 432 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 3 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10404,-380603] |
[a1,a2,a3,a4,a6] |
j |
27559168/1849 |
j-invariant |
L |
1.8988192332278 |
L(r)(E,1)/r! |
Ω |
0.47470480830696 |
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 |
33712g1 16856a1 |
Quadratic twists by: -4 -7 |