Atkin-Lehner |
3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731h |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-3301366327676703 = -1 · 314 · 11 · 137 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36536,-3846670] |
[a1,a2,a3,a4,a6] |
j |
-1532808577/938223 |
j-invariant |
L |
1.3438245955746 |
L(r)(E,1)/r! |
Ω |
0.16797807444683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5577g1 1287e1 |
Quadratic twists by: -3 13 |