Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720cf |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-46448640000 = -1 · 217 · 34 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,895,-897] |
[a1,a2,a3,a4,a6] |
j |
604223422/354375 |
j-invariant |
L |
2.6682406312412 |
L(r)(E,1)/r! |
Ω |
0.66706015781031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720k4 1680a4 20160dp4 33600ev3 |
Quadratic twists by: -4 8 -3 5 |