Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064by |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-713060352 = -1 · 212 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 -4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,199,633] |
[a1,a2,a3,a4,a6] |
j |
211708736/174087 |
j-invariant |
L |
4.1522181123684 |
L(r)(E,1)/r! |
Ω |
1.0380540271743 |
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 |
128064dm1 64032bf1 |
Quadratic twists by: -4 8 |