Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944v |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
10 |
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 |
[1767:15400:1] |
Generators of the group modulo torsion |
j |
733441552889589371521/4352738523915232 |
j-invariant |
L |
7.1354519018118 |
L(r)(E,1)/r! |
Ω |
0.15528696237098 |
Real period |
R |
4.5950102911805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944a2 10736f2 |
Quadratic twists by: -4 8 |