Atkin-Lehner |
2- 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082bc |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-314832891744 = -1 · 25 · 39 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2351,-50921] |
[a1,a2,a3,a4,a6] |
j |
-1489433211/326432 |
j-invariant |
L |
6.7771826948107 |
L(r)(E,1)/r! |
Ω |
0.33885913030204 |
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 |
89082g1 89082y1 |
Quadratic twists by: -3 -7 |