Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496x |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50385416380416 = 213 · 39 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-779139,264709890] |
[a1,a2,a3,a4,a6] |
Generators |
[537:1080:1] |
Generators of the group modulo torsion |
j |
648809652747411/624962 |
j-invariant |
L |
6.4396803248705 |
L(r)(E,1)/r! |
Ω |
0.53095565895179 |
Real period |
R |
1.516058877348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10062a2 80496z2 |
Quadratic twists by: -4 -3 |