Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bd |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
4265774502912 = 210 · 38 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26976,-1702456] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:52:1] |
Generators of the group modulo torsion |
j |
2908230909952/5714397 |
j-invariant |
L |
6.0246556656379 |
L(r)(E,1)/r! |
Ω |
0.37256875546794 |
Real period |
R |
1.3475489685485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999334522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dc1 7956a1 42432o1 |
Quadratic twists by: -4 8 -3 |