Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50864bl |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-3642702266368 = -1 · 215 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11+ 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,103280] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:102:1] |
Generators of the group modulo torsion |
j |
-4515625/10648 |
j-invariant |
L |
8.3888655707976 |
L(r)(E,1)/r! |
Ω |
0.69854992381046 |
Real period |
R |
2.0014951174468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358g1 50864bq1 |
Quadratic twists by: -4 17 |