Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296v |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
79061594406912 = 222 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11820,-248272] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:432:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
5.5303037462633 |
L(r)(E,1)/r! |
Ω |
0.47626168734488 |
Real period |
R |
2.9029753817265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998766369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296co1 3978g1 42432m1 |
Quadratic twists by: -4 8 -3 |