Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591j |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
603519770997297 = 37 · 72 · 117 · 172 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30515,-1669390] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:460:1] |
Generators of the group modulo torsion |
j |
2433138625/467313 |
j-invariant |
L |
2.8197827529701 |
L(r)(E,1)/r! |
Ω |
0.3660399420916 |
Real period |
R |
0.9629354781305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999928177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43197l1 11781j1 |
Quadratic twists by: -3 -11 |