Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224eg |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9485046853632 = -1 · 212 · 39 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5292,0] |
[a1,a2,a3,a4,a6] |
Generators |
[700:18620:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.8887300495772 |
L(r)(E,1)/r! |
Ω |
0.43476268199487 |
Real period |
R |
3.9612013259561 |
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 |
28224eg2 14112bn1 28224ei2 576g2 |
Quadratic twists by: -4 8 -3 -7 |