Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440ch |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.0272140763204E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3900321,5705562079] |
[a1,a2,a3,a4,a6] |
j |
-25031389351549772521/39185107281510400 |
j-invariant |
L |
0.46163737894581 |
L(r)(E,1)/r! |
Ω |
0.11540934591753 |
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 |
69440u3 17360be3 |
Quadratic twists by: -4 8 |