Atkin-Lehner |
3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112167n |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
-9928000662129 = -1 · 36 · 112 · 1034 |
Discriminant |
Eigenvalues |
1 3- 3 -2 11- 7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12843,583578] |
[a1,a2,a3,a4,a6] |
j |
-2656007409913/112550881 |
j-invariant |
L |
5.7526983383903 |
L(r)(E,1)/r! |
Ω |
0.7190872676083 |
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 |
12463d1 112167p1 |
Quadratic twists by: -3 -11 |