Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989p |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
4260991971458902977 = 311 · 119 · 1012 |
Discriminant |
Eigenvalues |
1 3- -2 -4 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7301223,-7591017384] |
[a1,a2,a3,a4,a6] |
j |
33329357828245513/3299340033 |
j-invariant |
L |
1.6532015824818 |
L(r)(E,1)/r! |
Ω |
0.091844515658112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36663i1 9999g1 |
Quadratic twists by: -3 -11 |