Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11544g |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
207584208 = 24 · 36 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5923,-173492] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1554:1] |
Generators of the group modulo torsion |
j |
1436488814848000/12974013 |
j-invariant |
L |
3.7801984106228 |
L(r)(E,1)/r! |
Ω |
0.54419963574719 |
Real period |
R |
3.4731724925106 |
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 |
23088g1 92352z1 34632c1 |
Quadratic twists by: -4 8 -3 |