Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ck |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
275417656786944 = 216 · 36 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33516,2222640] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:1764:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
4.1681418231227 |
L(r)(E,1)/r! |
Ω |
0.53978293833184 |
Real period |
R |
1.9304712723989 |
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 |
28224gd2 3528k2 3136e2 4032g2 |
Quadratic twists by: -4 8 -3 -7 |