Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066be |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.1978236400988E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32844699077,2291107809014066] |
[a1,a2,a3,a4,a6] |
j |
2211889682389423686563629156897/293403593785302 |
j-invariant |
L |
2.0880727561258 |
L(r)(E,1)/r! |
Ω |
0.065252273862793 |
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 |
6006bd5 |
Quadratic twists by: -11 |