Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16268f |
Isogeny class |
Conductor |
16268 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
5400976 = 24 · 72 · 832 |
Discriminant |
Eigenvalues |
2- -1 3 7- 1 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114,-419] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1:1] |
Generators of the group modulo torsion |
j |
210827008/6889 |
j-invariant |
L |
4.982407039892 |
L(r)(E,1)/r! |
Ω |
1.4629382025869 |
Real period |
R |
1.7028767965323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072y1 16268d1 |
Quadratic twists by: -4 -7 |