Atkin-Lehner |
2+ 3- |
Signs for the Atkin-Lehner involutions |
Class |
192b |
Isogeny class |
Conductor |
192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
98304 = 215 · 3 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,-609] |
[a1,a2,a3,a4,a6] |
j |
7301384/3 |
j-invariant |
L |
1.415737208426 |
L(r)(E,1)/r! |
Ω |
1.415737208426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
192a3 96b2 576b3 4800h3 |
Quadratic twists by: -4 8 -3 5 |