Atkin-Lehner |
3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271p |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-88133974981767 = -1 · 38 · 112 · 136 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5235,-427061] |
[a1,a2,a3,a4,a6] |
j |
3288008303/18259263 |
j-invariant |
L |
4.8513849288012 |
L(r)(E,1)/r! |
Ω |
0.30321156401997 |
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 |
759b1 |
Quadratic twists by: 13 |