Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cn |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
319389696000000 = 221 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70561,-7186465] |
[a1,a2,a3,a4,a6] |
j |
148212258825961/1218375000 |
j-invariant |
L |
1.7584273913467 |
L(r)(E,1)/r! |
Ω |
0.29307123189112 |
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 |
18240c2 4560r2 54720ez2 91200fv2 |
Quadratic twists by: -4 8 -3 5 |