Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
16600j |
Isogeny class |
Conductor |
16600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-33200000000 = -1 · 210 · 58 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 3 4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-9188] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1000:1] |
Generators of the group modulo torsion |
j |
-470596/2075 |
j-invariant |
L |
4.0701029839792 |
L(r)(E,1)/r! |
Ω |
0.48234338881127 |
Real period |
R |
2.1095463721447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33200a1 3320a1 |
Quadratic twists by: -4 5 |