Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066ck |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
493511585382623808 = 26 · 33 · 7 · 1112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-435663,-105430599] |
[a1,a2,a3,a4,a6] |
j |
5162020164015625/278574424128 |
j-invariant |
L |
3.3561493854014 |
L(r)(E,1)/r! |
Ω |
0.18645274350785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006q1 |
Quadratic twists by: -11 |