Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944c |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-16755411712 = -1 · 28 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 2 0 4 -1 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,207,6053] |
[a1,a2,a3,a4,a6] |
Generators |
[106:837:8] |
Generators of the group modulo torsion |
j |
128000/2197 |
j-invariant |
L |
11.707263628939 |
L(r)(E,1)/r! |
Ω |
0.91940121735363 |
Real period |
R |
3.183393548263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99944h1 |
Quadratic twists by: -31 |