Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
90246j |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-56280082611138048 = -1 · 29 · 39 · 137 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5581,11414600] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:2378:1] |
Generators of the group modulo torsion |
j |
-3981876625/11659894272 |
j-invariant |
L |
6.1172919064165 |
L(r)(E,1)/r! |
Ω |
0.28350353022233 |
Real period |
R |
1.1987489184086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942l1 |
Quadratic twists by: 13 |