Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989q |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-655968786561 = -1 · 312 · 112 · 1012 |
Discriminant |
Eigenvalues |
1 3- -3 4 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,-38934] |
[a1,a2,a3,a4,a6] |
j |
-6289657/7436529 |
j-invariant |
L |
1.6429535670291 |
L(r)(E,1)/r! |
Ω |
0.41073835584114 |
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 |
36663j1 109989h1 |
Quadratic twists by: -3 -11 |