Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450y |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-424179974920000 = -1 · 26 · 54 · 139 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16812,528592] |
[a1,a2,a3,a4,a6] |
Generators |
[482:10744:1] |
Generators of the group modulo torsion |
j |
174196775/140608 |
j-invariant |
L |
4.5326566828216 |
L(r)(E,1)/r! |
Ω |
0.34206091451659 |
Real period |
R |
0.18404197137857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600dc2 76050cl2 8450e2 650g2 |
Quadratic twists by: -4 -3 5 13 |