Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85312g |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
20 |
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] |
j |
1554611083084760121/645426573737984 |
j-invariant |
L |
3.2781276040719 |
L(r)(E,1)/r! |
Ω |
0.16390638099372 |
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 |
85312p1 2666b1 |
Quadratic twists by: -4 8 |