Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296ca |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-51873612890112 = -1 · 216 · 36 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6516,281232] |
[a1,a2,a3,a4,a6] |
Generators |
[64:980:1] |
Generators of the group modulo torsion |
j |
640412028/1085773 |
j-invariant |
L |
7.3575022908141 |
L(r)(E,1)/r! |
Ω |
0.43244256098513 |
Real period |
R |
4.2534563830618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296d3 31824o3 14144q4 |
Quadratic twists by: -4 8 -3 |