Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416do |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9006552912494592 = -1 · 224 · 33 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47700,-2183984] |
[a1,a2,a3,a4,a6] |
j |
1695802078125/1272491584 |
j-invariant |
L |
0.91999375402336 |
L(r)(E,1)/r! |
Ω |
0.22999843860099 |
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 |
52416o2 13104bf2 52416dp4 |
Quadratic twists by: -4 8 -3 |