Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bd |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.8637827805176E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 6 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37472232,88302130740] |
[a1,a2,a3,a4,a6] |
j |
-1420667555684738548240873/455025092899808484 |
j-invariant |
L |
6.9709288323769 |
L(r)(E,1)/r! |
Ω |
0.14522768403844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446a2 |
Quadratic twists by: -4 |