Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bs |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5323161600 = 216 · 32 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-641,-4959] |
[a1,a2,a3,a4,a6] |
j |
445138564/81225 |
j-invariant |
L |
1.9212480648806 |
L(r)(E,1)/r! |
Ω |
0.96062403244031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18240bh2 4560j2 54720ei2 91200hl2 |
Quadratic twists by: -4 8 -3 5 |