Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440s |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
755918438400 = 222 · 34 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9185,333183] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:768:1] |
Generators of the group modulo torsion |
j |
326940373369/2883600 |
j-invariant |
L |
9.87995623068 |
L(r)(E,1)/r! |
Ω |
0.9032906754964 |
Real period |
R |
1.3672171786561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440be1 2670a1 |
Quadratic twists by: -4 8 |