Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cb |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
705611642400000 = 28 · 32 · 55 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13883676,-19906911324] |
[a1,a2,a3,a4,a6] |
Generators |
[20718:2930004:1] |
Generators of the group modulo torsion |
j |
9826728297992948176/23428125 |
j-invariant |
L |
4.2854990618893 |
L(r)(E,1)/r! |
Ω |
0.078212007745486 |
Real period |
R |
6.8491706007467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280by2 |
Quadratic twists by: -7 |