Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bh |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14254080 = 215 · 3 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18561,-979521] |
[a1,a2,a3,a4,a6] |
j |
21582477031688/435 |
j-invariant |
L |
1.636090240454 |
L(r)(E,1)/r! |
Ω |
0.40902256011366 |
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 |
27840c4 13920g2 83520cu4 |
Quadratic twists by: -4 8 -3 |