Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cw |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-15476356896 = -1 · 25 · 3 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,12068] |
[a1,a2,a3,a4,a6] |
j |
-47045881/8736 |
j-invariant |
L |
5.9686098328899 |
L(r)(E,1)/r! |
Ω |
1.1937219686285 |
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 |
546b1 |
Quadratic twists by: -11 |