Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682t |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
162795258648 = 23 · 312 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4523,116579] |
[a1,a2,a3,a4,a6] |
j |
14034143923561/223313112 |
j-invariant |
L |
6.1414481966588 |
L(r)(E,1)/r! |
Ω |
1.0235746994431 |
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 |
93456bm2 3894e2 128502s2 |
Quadratic twists by: -4 -3 -11 |