Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144bh |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.264142268076E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2757304,-1533905068] |
[a1,a2,a3,a4,a6] |
j |
566001880654007645497/79690973341699632 |
j-invariant |
L |
0.94605510651159 |
L(r)(E,1)/r! |
Ω |
0.11825688831395 |
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 |
1518c3 48576cw4 36432cd4 |
Quadratic twists by: -4 8 -3 |