Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968dk |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.0481345685139E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31955979,-69396553798] |
[a1,a2,a3,a4,a6] |
Generators |
[-2908490286838:-5592078109674:865523177] |
Generators of the group modulo torsion |
j |
512576216027/1143072 |
j-invariant |
L |
8.8030642473501 |
L(r)(E,1)/r! |
Ω |
0.063506724714886 |
Real period |
R |
17.327031575845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bn2 40656be2 121968fe2 |
Quadratic twists by: -4 -3 -11 |