Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472cg |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
82356613025792 = 212 · 72 · 177 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321753,-70353689] |
[a1,a2,a3,a4,a6] |
j |
37259704000/833 |
j-invariant |
L |
0.80182716822401 |
L(r)(E,1)/r! |
Ω |
0.2004561447279 |
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 |
129472df1 64736n1 7616l1 |
Quadratic twists by: -4 8 17 |