Atkin-Lehner |
3+ 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63189a |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
501504 |
Modular degree for the optimal curve |
Δ |
-1108681272531 = -1 · 33 · 74 · 173 · 592 |
Discriminant |
Eigenvalues |
2 3+ 1 7+ 5 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-186927,-31106901] |
[a1,a2,a3,a4,a6] |
j |
-26753219699425210368/41062269353 |
j-invariant |
L |
8.2657831205846 |
L(r)(E,1)/r! |
Ω |
0.11480254346415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63189b1 |
Quadratic twists by: -3 |