Atkin-Lehner |
2+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16600i |
Isogeny class |
Conductor |
16600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-33200000000 = -1 · 210 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -5 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-8912] |
[a1,a2,a3,a4,a6] |
j |
-2500/83 |
j-invariant |
L |
3.0476637764495 |
L(r)(E,1)/r! |
Ω |
0.50794396274158 |
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 |
33200o1 16600k1 |
Quadratic twists by: -4 5 |