Atkin-Lehner |
2+ 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066c |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1998431553167421372 = -1 · 22 · 320 · 72 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-408355,-121472039] |
[a1,a2,a3,a4,a6] |
j |
-5657974048004235875/1501451204483412 |
j-invariant |
L |
1.1176631021308 |
L(r)(E,1)/r! |
Ω |
0.093138591411976 |
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 |
66066bu1 |
Quadratic twists by: -11 |