Atkin-Lehner |
2+ 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9546f |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
596736 |
Modular degree for the optimal curve |
Δ |
-296621865216 = -1 · 28 · 39 · 372 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 3 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77547045,262836279952] |
[a1,a2,a3,a4,a6] |
j |
-51572651927576105330987777353/296621865216 |
j-invariant |
L |
1.2857210788842 |
L(r)(E,1)/r! |
Ω |
0.32143026972105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76368h1 28638q1 |
Quadratic twists by: -4 -3 |