Atkin-Lehner |
2- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554j |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-59878 = -1 · 2 · 72 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16,-23] |
[a1,a2,a3,a4,a6] |
j |
-426957777/59878 |
j-invariant |
L |
2.3803656541573 |
L(r)(E,1)/r! |
Ω |
1.1901828270787 |
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 |
68432o1 76986h1 59878v1 111202j1 |
Quadratic twists by: -4 -3 -7 13 |