Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bw |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
171600 |
Modular degree for the optimal curve |
Δ |
-3839103782514 = -1 · 2 · 35 · 73 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13131,581307] |
[a1,a2,a3,a4,a6] |
j |
-141339344329/2167074 |
j-invariant |
L |
2.360858108861 |
L(r)(E,1)/r! |
Ω |
0.78695270230573 |
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 |
546a1 |
Quadratic twists by: -11 |