Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240n |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
54196854912000 = 210 · 32 · 53 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10645,-227243] |
[a1,a2,a3,a4,a6] |
j |
130287139815424/52926616125 |
j-invariant |
L |
2.9218233853517 |
L(r)(E,1)/r! |
Ω |
0.48697056422529 |
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 |
18240cw3 1140c3 54720q3 91200cz3 |
Quadratic twists by: -4 8 -3 5 |