Atkin-Lehner |
7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86989i |
Isogeny class |
Conductor |
86989 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
14321664 |
Modular degree for the optimal curve |
Δ |
-1.1966949695566E+22 |
Discriminant |
Eigenvalues |
1 -3 -3 7- 2 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9042286,-11712291869] |
[a1,a2,a3,a4,a6] |
Generators |
[5402:308841:1] |
Generators of the group modulo torsion |
j |
-3387387875659176537/495781066252619 |
j-invariant |
L |
3.2765988581234 |
L(r)(E,1)/r! |
Ω |
0.043181447173608 |
Real period |
R |
2.7099922661244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5117c1 |
Quadratic twists by: 17 |