Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ff |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2459086221312 = -1 · 212 · 36 · 77 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2940,43904] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
2.1201511759528 |
L(r)(E,1)/r! |
Ω |
0.53003779398795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224fh1 14112by1 3136z1 4032bg1 |
Quadratic twists by: -4 8 -3 -7 |