Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434g |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
95843088 = 24 · 38 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207,-995] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
1349232625/131472 |
j-invariant |
L |
3.9678543755069 |
L(r)(E,1)/r! |
Ω |
1.2662537210771 |
Real period |
R |
1.5667690880038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478i1 |
Quadratic twists by: -3 |