Atkin-Lehner |
5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265k |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10262016 |
Modular degree for the optimal curve |
Δ |
-4.244612157586E+20 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20908090,-36817932156] |
[a1,a2,a3,a4,a6] |
j |
-501392232607744/210546875 |
j-invariant |
L |
0.56480734580154 |
L(r)(E,1)/r! |
Ω |
0.035300432608406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111265h1 |
Quadratic twists by: 17 |