Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
111540t |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1627507366467840 = -1 · 28 · 314 · 5 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103900,-13001288] |
[a1,a2,a3,a4,a6] |
j |
-220548705213328/2893696245 |
j-invariant |
L |
0.79712606333953 |
L(r)(E,1)/r! |
Ω |
0.13285449111681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111540k2 |
Quadratic twists by: 13 |