Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bo |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-116191823956992 = -1 · 210 · 39 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11760,-167384] |
[a1,a2,a3,a4,a6] |
Generators |
[462:10192:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
4.881073379347 |
L(r)(E,1)/r! |
Ω |
0.33797326742354 |
Real period |
R |
3.6105469350851 |
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 |
28224fi1 1764f1 9408bb1 4032n1 |
Quadratic twists by: -4 8 -3 -7 |