Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27768g |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4757965495296 = -1 · 210 · 3 · 133 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -5 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,104988] |
[a1,a2,a3,a4,a6] |
j |
-188183524/4646450679 |
j-invariant |
L |
1.2317666541941 |
L(r)(E,1)/r! |
Ω |
0.61588332709714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536h1 83304g1 |
Quadratic twists by: -4 -3 |