Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416g |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10443322755831808 = 211 · 179 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9015355,-10418910666] |
[a1,a2,a3,a4,a6] |
Generators |
[-5317757896233030:-67177659735008:3066953357889] |
Generators of the group modulo torsion |
j |
333658325250/43 |
j-invariant |
L |
4.080623008321 |
L(r)(E,1)/r! |
Ω |
0.087127218554145 |
Real period |
R |
23.417613244776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999940529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99416f2 |
Quadratic twists by: 17 |