Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960df |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
40163162681250000 = 24 · 33 · 58 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-902351,-330082110] |
[a1,a2,a3,a4,a6] |
j |
43166067206895616/21336328125 |
j-invariant |
L |
3.717746453635 |
L(r)(E,1)/r! |
Ω |
0.15490610088242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bj1 |
Quadratic twists by: -7 |