Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5577g |
Isogeny class |
Conductor |
5577 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4528623220407 = -1 · 38 · 11 · 137 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4060,142469] |
[a1,a2,a3,a4,a6] |
Generators |
[31:200:1] |
Generators of the group modulo torsion |
j |
-1532808577/938223 |
j-invariant |
L |
6.137936646889 |
L(r)(E,1)/r! |
Ω |
0.71671040325817 |
Real period |
R |
2.1410100296389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232bd1 16731h1 61347z1 429b1 |
Quadratic twists by: -4 -3 -11 13 |