Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285ba |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-16591709671875 = -1 · 37 · 56 · 134 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-783822,267100317] |
[a1,a2,a3,a4,a6] |
Generators |
[407:3937:1] |
Generators of the group modulo torsion |
j |
-2557850287243264/796875 |
j-invariant |
L |
7.1745616561518 |
L(r)(E,1)/r! |
Ω |
0.55898605391794 |
Real period |
R |
1.6043695519029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024249 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43095m2 129285p2 |
Quadratic twists by: -3 13 |