Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450g |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
410338673000000 = 26 · 56 · 177 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21826,766548] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1169:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
1.0925946134262 |
L(r)(E,1)/r! |
Ω |
0.48762315178789 |
Real period |
R |
0.56016342200946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115600bz1 578a1 850b1 |
Quadratic twists by: -4 5 17 |