Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85312p |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
1.6919470374597E+20 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 -5 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1544588,-392774896] |
[a1,a2,a3,a4,a6] |
Generators |
[4672:307196:1] |
Generators of the group modulo torsion |
j |
1554611083084760121/645426573737984 |
j-invariant |
L |
4.4316529877377 |
L(r)(E,1)/r! |
Ω |
0.14048852875611 |
Real period |
R |
7.886147419803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312g1 21328e1 |
Quadratic twists by: -4 8 |