Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432ce |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2400632832 = 214 · 3 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18513,-975729] |
[a1,a2,a3,a4,a6] |
j |
42830942866000/146523 |
j-invariant |
L |
3.2743000566445 |
L(r)(E,1)/r! |
Ω |
0.40928750710059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432c2 10608s2 127296bz2 |
Quadratic twists by: -4 8 -3 |