Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680cd |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1528450560 = 29 · 38 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,-132840] |
[a1,a2,a3,a4,a6] |
Generators |
[103:684:1] |
Generators of the group modulo torsion |
j |
25107427013768/2985255 |
j-invariant |
L |
7.5845926808335 |
L(r)(E,1)/r! |
Ω |
0.57120273951692 |
Real period |
R |
3.3195712118094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680i4 87360a4 |
Quadratic twists by: -4 8 |