Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109989f |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-218656262187 = -1 · 311 · 112 · 1012 |
Discriminant |
Eigenvalues |
0 3- 2 -3 11- -6 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-264,22558] |
[a1,a2,a3,a4,a6] |
Generators |
[256:4090:1] |
Generators of the group modulo torsion |
j |
-23068672/2478843 |
j-invariant |
L |
5.4387016330062 |
L(r)(E,1)/r! |
Ω |
0.81853583002369 |
Real period |
R |
0.83055339264608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999043482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663d1 109989k1 |
Quadratic twists by: -3 -11 |