Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066y |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-4.9446968751382E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1669434,-674628968] |
[a1,a2,a3,a4,a6] |
j |
218221573115125/209703416832 |
j-invariant |
L |
2.8921494390363 |
L(r)(E,1)/r! |
Ω |
0.090379670190003 |
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 |
66066cd1 |
Quadratic twists by: -11 |