Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cx |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5136384 |
Modular degree for the optimal curve |
Δ |
678188372320495296 = 26 · 317 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36144579,83639768240] |
[a1,a2,a3,a4,a6] |
j |
111929798417942466883648/14535930476691 |
j-invariant |
L |
1.3384995146149 |
L(r)(E,1)/r! |
Ω |
0.22308341355669 |
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 |
127296cw1 63648a2 42432bz1 |
Quadratic twists by: -4 8 -3 |