Atkin-Lehner |
2+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
85312j |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
178912231424 = 227 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 -5 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13292,589488] |
[a1,a2,a3,a4,a6] |
Generators |
[68:8:1] |
Generators of the group modulo torsion |
j |
990728800209/682496 |
j-invariant |
L |
4.9368375154871 |
L(r)(E,1)/r! |
Ω |
1.0040411363155 |
Real period |
R |
2.4584836900734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312l1 2666d1 |
Quadratic twists by: -4 8 |