Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066ct |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-13120350460285068 = -1 · 22 · 33 · 74 · 116 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48821,-3619747] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1403:1] |
Generators of the group modulo torsion |
j |
7264187703863/7406095788 |
j-invariant |
L |
11.056696199302 |
L(r)(E,1)/r! |
Ω |
0.21644032609725 |
Real period |
R |
2.1285112773165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
546c4 |
Quadratic twists by: -11 |