Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240i |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63037440000 = 216 · 34 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,30721] |
[a1,a2,a3,a4,a6] |
j |
11968836484/961875 |
j-invariant |
L |
2.160750379776 |
L(r)(E,1)/r! |
Ω |
1.080375189888 |
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 |
18240cl3 2280j3 54720cj4 91200eb4 |
Quadratic twists by: -4 8 -3 5 |