Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032bj |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
229419122688 = 217 · 36 · 74 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2124,-29808] |
[a1,a2,a3,a4,a6] |
j |
11090466/2401 |
j-invariant |
L |
2.8562628335635 |
L(r)(E,1)/r! |
Ω |
0.71406570839088 |
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 |
4032g4 1008h3 448b4 100800lu3 |
Quadratic twists by: -4 8 -3 5 |