Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240be |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-729600000000 = -1 · 215 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1599,-32385] |
[a1,a2,a3,a4,a6] |
j |
13789468792/22265625 |
j-invariant |
L |
1.9011248287322 |
L(r)(E,1)/r! |
Ω |
0.47528120718306 |
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 |
18240j4 9120e4 54720bz3 91200l3 |
Quadratic twists by: -4 8 -3 5 |