Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176m |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2212987392 = 29 · 36 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11595,-480562] |
[a1,a2,a3,a4,a6] |
j |
461889917000/5929 |
j-invariant |
L |
1.8403151113553 |
L(r)(E,1)/r! |
Ω |
0.46007877783882 |
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 |
22176s2 44352di2 2464b2 |
Quadratic twists by: -4 8 -3 |