Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bo |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
128081217600 = 26 · 39 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2648,-48869] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:47:1] |
Generators of the group modulo torsion |
j |
104287581243/6507200 |
j-invariant |
L |
8.6664063070609 |
L(r)(E,1)/r! |
Ω |
0.6681548244233 |
Real period |
R |
1.0808879906139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290f1 |
Quadratic twists by: -3 |