Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11132d |
Isogeny class |
Conductor |
11132 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-16386304 = -1 · 28 · 112 · 232 |
Discriminant |
Eigenvalues |
2- -2 -1 4 11- 3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,196] |
[a1,a2,a3,a4,a6] |
Generators |
[12:46:1] |
Generators of the group modulo torsion |
j |
176/529 |
j-invariant |
L |
3.3603767428498 |
L(r)(E,1)/r! |
Ω |
1.7276585380818 |
Real period |
R |
0.32417446974031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44528x1 100188bd1 11132e1 |
Quadratic twists by: -4 -3 -11 |