Atkin-Lehner |
2- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554m |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-69456676679936 = -1 · 28 · 7 · 132 · 475 |
Discriminant |
Eigenvalues |
2- 3 1 7+ 1 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174372,-27985337] |
[a1,a2,a3,a4,a6] |
j |
-586342836493501890321/69456676679936 |
j-invariant |
L |
7.476140488774 |
L(r)(E,1)/r! |
Ω |
0.11681469513709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68432s1 76986f1 59878z1 111202m1 |
Quadratic twists by: -4 -3 -7 13 |