Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154q |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2253509901016707762 = -1 · 2 · 32 · 1110 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1699299,-855809576] |
[a1,a2,a3,a4,a6] |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
3.3049448602257 |
L(r)(E,1)/r! |
Ω |
0.066098897204514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232br4 33462df4 122694dh4 66c4 |
Quadratic twists by: -4 -3 -11 13 |