Atkin-Lehner |
3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112167i |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-18236275482234051 = -1 · 36 · 119 · 1032 |
Discriminant |
Eigenvalues |
0 3- 1 4 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,63888,1892349] |
[a1,a2,a3,a4,a6] |
j |
16777216/10609 |
j-invariant |
L |
3.8540673484335 |
L(r)(E,1)/r! |
Ω |
0.24087917132992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12463a1 112167j1 |
Quadratic twists by: -3 -11 |