Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989s |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720000 |
Modular degree for the optimal curve |
Δ |
9.698139475202E+25 |
Discriminant |
Eigenvalues |
-2 3- -1 2 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-119017173,-158956957998] |
[a1,a2,a3,a4,a6] |
j |
144367343061390585856/75093921862509429 |
j-invariant |
L |
0.96784904252788 |
L(r)(E,1)/r! |
Ω |
0.048392465333984 |
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 |
36663k1 9999h1 |
Quadratic twists by: -3 -11 |