Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416z |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
14976811008 = 220 · 33 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36833,-2733153] |
[a1,a2,a3,a4,a6] |
j |
21081759765625/57132 |
j-invariant |
L |
2.0677147217235 |
L(r)(E,1)/r! |
Ω |
0.34461912028725 |
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 |
4416a2 1104g2 13248bd2 110400fr2 |
Quadratic twists by: -4 8 -3 5 |