Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285d |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55387633275 = 33 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45915,-3775394] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1724:1] |
Generators of the group modulo torsion |
j |
82142689923/425 |
j-invariant |
L |
4.4486673555816 |
L(r)(E,1)/r! |
Ω |
0.32614490541396 |
Real period |
R |
3.4100389738618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129285n2 765b2 |
Quadratic twists by: -3 13 |