Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064x |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-104197079128080384 = -1 · 220 · 311 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 3 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-423201,-107239617] |
[a1,a2,a3,a4,a6] |
j |
-31976054253232201/397480312836 |
j-invariant |
L |
4.114942413715 |
L(r)(E,1)/r! |
Ω |
0.09352148833068 |
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 |
128064co1 4002b1 |
Quadratic twists by: -4 8 |