Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032bk |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-172064342016 = -1 · 215 · 37 · 74 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-19280] |
[a1,a2,a3,a4,a6] |
j |
830584/7203 |
j-invariant |
L |
2.0144694836865 |
L(r)(E,1)/r! |
Ω |
0.50361737092161 |
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 |
4032be4 2016g4 1344s4 100800ma3 |
Quadratic twists by: -4 8 -3 5 |