Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dm |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22773597495570432 = -1 · 212 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79380,-11261376] |
[a1,a2,a3,a4,a6] |
Generators |
[110882044:5141914372:50653] |
Generators of the group modulo torsion |
j |
-5832000/2401 |
j-invariant |
L |
5.800806715056 |
L(r)(E,1)/r! |
Ω |
0.13939716763786 |
Real period |
R |
10.403379805618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224do2 14112d1 28224dn2 4032r2 |
Quadratic twists by: -4 8 -3 -7 |