Atkin-Lehner |
2- 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
6666g |
Isogeny class |
Conductor |
6666 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8079192 = 23 · 32 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-463,-3871] |
[a1,a2,a3,a4,a6] |
j |
10978052640625/8079192 |
j-invariant |
L |
3.0877338733788 |
L(r)(E,1)/r! |
Ω |
1.0292446244596 |
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 |
53328n2 19998h2 73326l2 |
Quadratic twists by: -4 -3 -11 |