Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cl |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[-25:48:1] |
Generators of the group modulo torsion |
j |
11968836484/961875 |
j-invariant |
L |
4.6704151942894 |
L(r)(E,1)/r! |
Ω |
0.72478383173493 |
Real period |
R |
0.80548416469048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240i3 4560f3 54720eo4 91200fl4 |
Quadratic twists by: -4 8 -3 5 |