Atkin-Lehner |
2- 3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850cn |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
33223680 |
Modular degree for the optimal curve |
Δ |
-7.8046838793864E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33866513,154337383017] |
[a1,a2,a3,a4,a6] |
Generators |
[4852:320449:1] |
Generators of the group modulo torsion |
j |
-2199404563712722841021/3995998146245838528 |
j-invariant |
L |
14.422344601863 |
L(r)(E,1)/r! |
Ω |
0.066088440680355 |
Real period |
R |
2.597951720329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116850p1 |
Quadratic twists by: 5 |