Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472cl |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1767046439369179136 = -1 · 219 · 79 · 174 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 0 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55103,-63743681] |
[a1,a2,a3,a4,a6] |
Generators |
[15573:341792:27] |
Generators of the group modulo torsion |
j |
845095823/80707214 |
j-invariant |
L |
3.3725166653995 |
L(r)(E,1)/r! |
Ω |
0.12574666494393 |
Real period |
R |
6.7049824545566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998123873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472bn2 32368q2 129472dc2 |
Quadratic twists by: -4 8 17 |