Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154d |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
287819164674756 = 22 · 36 · 112 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-435009,110248065] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:13449:1] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
3.377666843432 |
L(r)(E,1)/r! |
Ω |
0.51094951061888 |
Real period |
R |
3.3052843512277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89232cm2 33462da2 122694cm2 858h2 |
Quadratic twists by: -4 -3 -11 13 |