Atkin-Lehner |
2+ 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440i |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-717531955200 = -1 · 214 · 39 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5445,161757] |
[a1,a2,a3,a4,a6] |
j |
-1089876235264/43794675 |
j-invariant |
L |
1.7915975520745 |
L(r)(E,1)/r! |
Ω |
0.89579879362373 |
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 |
85440br1 10680c1 |
Quadratic twists by: -4 8 |