Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cu |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
308834353152 = 214 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460,-38608] |
[a1,a2,a3,a4,a6] |
j |
137842000/25857 |
j-invariant |
L |
2.7467980315983 |
L(r)(E,1)/r! |
Ω |
0.68669919700342 |
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 |
127296t1 31824e1 42432bx1 |
Quadratic twists by: -4 8 -3 |