Atkin-Lehner |
2+ 3- |
Signs for the Atkin-Lehner involutions |
Class |
192c |
Isogeny class |
Conductor |
192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
147456 = 214 · 32 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,15] |
[a1,a2,a3,a4,a6] |
j |
35152/9 |
j-invariant |
L |
1.5248868380819 |
L(r)(E,1)/r! |
Ω |
3.0497736761638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
192d2 24a1 576d2 4800c2 |
Quadratic twists by: -4 8 -3 5 |