Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448ci |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25622710124544 = 216 · 34 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16449,780129] |
[a1,a2,a3,a4,a6] |
j |
1556068/81 |
j-invariant |
L |
1.3224113775703 |
L(r)(E,1)/r! |
Ω |
0.66120568878734 |
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 |
32448bh3 8112k4 97344fb3 192d4 |
Quadratic twists by: -4 8 -3 13 |