Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016l |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-221294592 = -1 · 212 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107,541] |
[a1,a2,a3,a4,a6] |
j |
32768000/54027 |
j-invariant |
L |
2.4195174162399 |
L(r)(E,1)/r! |
Ω |
1.2097587081222 |
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 |
2001c1 128064da1 96048bk1 |
Quadratic twists by: -4 8 -3 |