Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066ch |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1120445534208 = -1 · 212 · 3 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-833,-51831] |
[a1,a2,a3,a4,a6] |
j |
-528330801625/9259880448 |
j-invariant |
L |
4.4890357309919 |
L(r)(E,1)/r! |
Ω |
0.37408631188544 |
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 |
66066bg2 |
Quadratic twists by: -11 |