Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bv |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1423287189504000000 = -1 · 222 · 36 · 56 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261492,-25410832] |
[a1,a2,a3,a4,a6] |
Generators |
[10462:1071360:1] |
Generators of the group modulo torsion |
j |
10347405816671/7447750000 |
j-invariant |
L |
5.672974094209 |
L(r)(E,1)/r! |
Ω |
0.15163444493085 |
Real period |
R |
3.1176810934246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ej3 2790m3 9920o3 |
Quadratic twists by: -4 8 -3 |