Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680cg |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1073217600 = 26 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2730,-55800] |
[a1,a2,a3,a4,a6] |
Generators |
[90:660:1] |
Generators of the group modulo torsion |
j |
35171488759744/16769025 |
j-invariant |
L |
7.4406441335878 |
L(r)(E,1)/r! |
Ω |
0.66047755621078 |
Real period |
R |
2.8163879543005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680j1 87360c2 |
Quadratic twists by: -4 8 |