Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cf |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-30813563289600 = -1 · 215 · 310 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6040,198708] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:432:1] |
Generators of the group modulo torsion |
j |
5948434379159/7522842600 |
j-invariant |
L |
6.6320029650631 |
L(r)(E,1)/r! |
Ω |
0.44304389430854 |
Real period |
R |
0.37422945278445 |
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 |
2730j2 87360dx2 65520cs2 109200dq2 |
Quadratic twists by: -4 8 -3 5 |