Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016k |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
106752 |
Modular degree for the optimal curve |
Δ |
-389538672 = -1 · 24 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 5 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128272,17639903] |
[a1,a2,a3,a4,a6] |
j |
-14588233766058627328/24346167 |
j-invariant |
L |
4.3552981404119 |
L(r)(E,1)/r! |
Ω |
1.0888245351024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16008i1 128064cq1 96048d1 |
Quadratic twists by: -4 8 -3 |