Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bq |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
2024967146233135104 = 220 · 32 · 7 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2789234,1790510591] |
[a1,a2,a3,a4,a6] |
j |
1354635530322645817/1143041163264 |
j-invariant |
L |
2.6003050433035 |
L(r)(E,1)/r! |
Ω |
0.26003050492931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006i1 |
Quadratic twists by: -11 |