Atkin-Lehner |
11- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111683g |
Isogeny class |
Conductor |
111683 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
191664 |
Modular degree for the optimal curve |
Δ |
197853247163 = 118 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 -2 4 2 11- 13- 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1636,-13947] |
[a1,a2,a3,a4,a6] |
j |
2259169/923 |
j-invariant |
L |
2.3340387866718 |
L(r)(E,1)/r! |
Ω |
0.77801329589432 |
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 |
111683b1 |
Quadratic twists by: -11 |