Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bj |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
119771136000000 = 218 · 34 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24481,-1385281] |
[a1,a2,a3,a4,a6] |
Generators |
[185:672:1] |
Generators of the group modulo torsion |
j |
6189976379881/456890625 |
j-invariant |
L |
6.2843861814675 |
L(r)(E,1)/r! |
Ω |
0.38345190066245 |
Real period |
R |
4.0972454241397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18240bt2 285c2 54720cl2 91200bl2 |
Quadratic twists by: -4 8 -3 5 |