Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bc |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
261660672000 = 216 · 33 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3383,-70769] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:70:1] |
Generators of the group modulo torsion |
j |
158542456758867/9691136000 |
j-invariant |
L |
6.284895242993 |
L(r)(E,1)/r! |
Ω |
0.62840897745342 |
Real period |
R |
0.62508010989735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bt1 8190f1 40950f1 57330dk1 |
Quadratic twists by: -4 -3 5 -7 |