Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661h |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
29774987047221 = 3 · 138 · 233 |
Discriminant |
Eigenvalues |
0 3- 3 2 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-68839,-6969881] |
[a1,a2,a3,a4,a6] |
j |
44226936832/36501 |
j-invariant |
L |
3.5370659192974 |
L(r)(E,1)/r! |
Ω |
0.29475549327479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34983g2 11661i2 |
Quadratic twists by: -3 13 |