Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16016j |
Isogeny class |
Conductor |
16016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-70943961088 = -1 · 212 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251,12906] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:104:1] |
Generators of the group modulo torsion |
j |
-426957777/17320303 |
j-invariant |
L |
3.8585210355252 |
L(r)(E,1)/r! |
Ω |
0.91022422561439 |
Real period |
R |
1.059772121787 |
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 |
1001b1 64064bn1 112112bf1 |
Quadratic twists by: -4 8 -7 |