Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986m |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2745550080 |
Modular degree for the optimal curve |
Δ |
-1.8199239168132E+35 |
Discriminant |
Eigenvalues |
2+ 3 1 -3 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,138744493706,5059533804120692] |
[a1,a2,a3,a4,a6] |
Generators |
[8946766752187467011934190144077886758:18654392452847577760934162236843014108263:165433115093699852228721020503464] |
Generators of the group modulo torsion |
j |
166730430145065264640887985413999/102729960572239453975463591936 |
j-invariant |
L |
9.8231593605652 |
L(r)(E,1)/r! |
Ω |
0.0062486949887493 |
Real period |
R |
56.14406218448 |
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 |
11726k1 |
Quadratic twists by: -11 |