Atkin-Lehner |
2+ 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8142d |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
749064 = 23 · 3 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7552,-253210] |
[a1,a2,a3,a4,a6] |
j |
47624122511517817/749064 |
j-invariant |
L |
1.0242853106974 |
L(r)(E,1)/r! |
Ω |
0.51214265534871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65136o2 24426o2 |
Quadratic twists by: -4 -3 |