Atkin-Lehner |
7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55447d |
Isogeny class |
Conductor |
55447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-34543481 = -1 · 72 · 893 |
Discriminant |
Eigenvalues |
1 -1 -3 7- 2 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1099,-14494] |
[a1,a2,a3,a4,a6] |
j |
-208527857/49 |
j-invariant |
L |
1.6581452168814 |
L(r)(E,1)/r! |
Ω |
0.41453630428508 |
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 |
55447b1 |
Quadratic twists by: 89 |