Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944a |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.1410442876132E+21 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 11+ 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12024321,-15970172833] |
[a1,a2,a3,a4,a6] |
Generators |
[49449232610002747:-38076690179669778560:83396175409] |
Generators of the group modulo torsion |
j |
733441552889589371521/4352738523915232 |
j-invariant |
L |
8.7964625962612 |
L(r)(E,1)/r! |
Ω |
0.081103508006566 |
Real period |
R |
27.114926383792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944v2 1342c2 |
Quadratic twists by: -4 8 |