Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544em |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.6327387546546E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408076716,3172932212560] |
[a1,a2,a3,a4,a6] |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
1.4682798411929 |
L(r)(E,1)/r! |
Ω |
0.12235665423743 |
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 |
68544be2 17136j2 22848cw2 |
Quadratic twists by: -4 8 -3 |