Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066w |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
528130679076 = 22 · 32 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3270,-63164] |
[a1,a2,a3,a4,a6] |
j |
2181825073/298116 |
j-invariant |
L |
2.5483223829726 |
L(r)(E,1)/r! |
Ω |
0.63708059687163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
546g2 |
Quadratic twists by: -11 |