Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7568h |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-229265113088 = -1 · 218 · 11 · 433 |
Discriminant |
Eigenvalues |
2- -1 0 4 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4168,107504] |
[a1,a2,a3,a4,a6] |
j |
-1955469687625/55972928 |
j-invariant |
L |
1.9791487379976 |
L(r)(E,1)/r! |
Ω |
0.98957436899879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
946b2 30272bi2 68112bz2 83248bk2 |
Quadratic twists by: -4 8 -3 -11 |