Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8142f |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1496521971994097052 = -1 · 22 · 36 · 233 · 596 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,144037,-54955827] |
[a1,a2,a3,a4,a6] |
Generators |
[99170:2905367:125] |
Generators of the group modulo torsion |
j |
330480413701752359375/1496521971994097052 |
j-invariant |
L |
6.8185479240228 |
L(r)(E,1)/r! |
Ω |
0.13553904078605 |
Real period |
R |
8.3844820460081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65136m4 24426f4 |
Quadratic twists by: -4 -3 |