Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bs |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2621333531787264 = -1 · 225 · 313 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81228,-9244816] |
[a1,a2,a3,a4,a6] |
Generators |
[11470:1228032:1] |
Generators of the group modulo torsion |
j |
-6329617441/279936 |
j-invariant |
L |
5.6083434360253 |
L(r)(E,1)/r! |
Ω |
0.14103329488756 |
Real period |
R |
4.9707619045705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224fo2 882d2 9408h2 28224x2 |
Quadratic twists by: -4 8 -3 -7 |