Atkin-Lehner |
3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8745b |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.9434856795359E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,532939,-262189042] |
[a1,a2,a3,a4,a6] |
j |
16740027582878354820911/39434856795358796475 |
j-invariant |
L |
0.84642979824215 |
L(r)(E,1)/r! |
Ω |
0.10580372478027 |
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 |
26235m2 43725o2 96195e2 |
Quadratic twists by: -3 5 -11 |