Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776m |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
64906331291648 = 217 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17953,834879] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1309:1] |
Generators of the group modulo torsion |
j |
4882576639250/495196009 |
j-invariant |
L |
4.1845040243972 |
L(r)(E,1)/r! |
Ω |
0.60226632034399 |
Real period |
R |
0.8684912057457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83776y2 10472d2 |
Quadratic twists by: -4 8 |