Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11544d |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
9974016 = 28 · 34 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-172,800] |
[a1,a2,a3,a4,a6] |
j |
2211014608/38961 |
j-invariant |
L |
4.5905708150899 |
L(r)(E,1)/r! |
Ω |
2.295285407545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088a1 92352q1 34632j1 |
Quadratic twists by: -4 8 -3 |