Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160s |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4631040 = 29 · 33 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96480,-11502540] |
[a1,a2,a3,a4,a6] |
j |
193985887870344968/9045 |
j-invariant |
L |
0.54177611115938 |
L(r)(E,1)/r! |
Ω |
0.27088805558086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32160x4 64320cf4 96480i4 |
Quadratic twists by: -4 8 -3 |