Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450b |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-467100156250 = -1 · 2 · 57 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,433,32591] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:168:1] |
Generators of the group modulo torsion |
j |
573856191/29894410 |
j-invariant |
L |
3.5689673434504 |
L(r)(E,1)/r! |
Ω |
0.71110346465195 |
Real period |
R |
0.62736428676562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290l2 |
Quadratic twists by: 5 |