Atkin-Lehner |
2+ 11+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16082a |
Isogeny class |
Conductor |
16082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16195200 |
Modular degree for the optimal curve |
Δ |
-7.879755107599E+28 |
Discriminant |
Eigenvalues |
2+ -1 4 0 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-812952198,16186005547540] |
[a1,a2,a3,a4,a6] |
Generators |
[2776301916493698495615380:698887539766643874225354550:38665595886555953771] |
Generators of the group modulo torsion |
j |
-59418097461261858514092669750889/78797551075990336852786675712 |
j-invariant |
L |
3.7027887686692 |
L(r)(E,1)/r! |
Ω |
0.030962349996655 |
Real period |
R |
29.897510759594 |
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 |
128656w1 |
Quadratic twists by: -4 |