Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032bm |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3305011881443328 = -1 · 218 · 37 · 78 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19596,-2960624] |
[a1,a2,a3,a4,a6] |
j |
-4354703137/17294403 |
j-invariant |
L |
1.4733367444141 |
L(r)(E,1)/r! |
Ω |
0.18416709305176 |
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 |
4032h6 1008k6 1344r6 100800me5 |
Quadratic twists by: -4 8 -3 5 |