Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960dk |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5722573478630400 = 210 · 33 · 52 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89336,9581760] |
[a1,a2,a3,a4,a6] |
Generators |
[16:2856:1] |
Generators of the group modulo torsion |
j |
224498790823612/16292859075 |
j-invariant |
L |
8.173405375364 |
L(r)(E,1)/r! |
Ω |
0.41830270492135 |
Real period |
R |
0.54276253820208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960cm2 |
Quadratic twists by: -7 |