Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cm |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
291600 |
Modular degree for the optimal curve |
Δ |
-25385094398664 = -1 · 23 · 39 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1631,-240943] |
[a1,a2,a3,a4,a6] |
j |
270840023/14329224 |
j-invariant |
L |
8.6628856496149 |
L(r)(E,1)/r! |
Ω |
0.32084761664856 |
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 |
546d1 |
Quadratic twists by: -11 |