Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32040g |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-145982250000000000 = -1 · 210 · 38 · 512 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,106917,-12524218] |
[a1,a2,a3,a4,a6] |
Generators |
[41896083:-892812500:185193] |
Generators of the group modulo torsion |
j |
181065838488476/195556640625 |
j-invariant |
L |
5.8971968935579 |
L(r)(E,1)/r! |
Ω |
0.17629170223167 |
Real period |
R |
8.3628395705887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080c3 10680a4 |
Quadratic twists by: -4 -3 |