Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176n |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.7584104919331E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14710755,21515799818] |
[a1,a2,a3,a4,a6] |
j |
943259332190261813000/10069472554261659 |
j-invariant |
L |
1.4044346156837 |
L(r)(E,1)/r! |
Ω |
0.14044346156837 |
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 |
22176e2 44352p2 7392a2 |
Quadratic twists by: -4 8 -3 |