Atkin-Lehner |
2+ 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536d |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-71974656 = -1 · 28 · 35 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 3 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52,-416] |
[a1,a2,a3,a4,a6] |
j |
-61918288/281151 |
j-invariant |
L |
1.6100280720163 |
L(r)(E,1)/r! |
Ω |
0.80501403557024 |
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 |
27768m1 |
Quadratic twists by: -4 |