Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296b |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-175286592 = -1 · 26 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-484] |
[a1,a2,a3,a4,a6] |
j |
2744000/3757 |
j-invariant |
L |
3.843764221395 |
L(r)(E,1)/r! |
Ω |
0.96094095358753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296c1 63648t2 14144b1 |
Quadratic twists by: -4 8 -3 |