Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cd |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.3067720026856E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7635201,8302047999] |
[a1,a2,a3,a4,a6] |
j |
-187778242790732059201/4984939585440150 |
j-invariant |
L |
2.4375547559333 |
L(r)(E,1)/r! |
Ω |
0.15234717224583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720c8 1680p8 20160ff8 33600eq7 |
Quadratic twists by: -4 8 -3 5 |