Atkin-Lehner |
2+ 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082v |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-171176555559518208 = -1 · 226 · 36 · 73 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158643,31468149] |
[a1,a2,a3,a4,a6] |
j |
-1765900971536311/684577521664 |
j-invariant |
L |
1.2089718864578 |
L(r)(E,1)/r! |
Ω |
0.30224299077586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9898f1 89082n1 |
Quadratic twists by: -3 -7 |