Atkin-Lehner |
2- 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
129228g |
Isogeny class |
Conductor |
129228 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
388080 |
Modular degree for the optimal curve |
Δ |
-1186800516963072 = -1 · 28 · 35 · 118 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14197,-1776047] |
[a1,a2,a3,a4,a6] |
j |
-5767168/21627 |
j-invariant |
L |
1.8013416157003 |
L(r)(E,1)/r! |
Ω |
0.20014909227289 |
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 |
129228f1 |
Quadratic twists by: -11 |