Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bb |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.4109303392165E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,254857677,-8746675462978] |
[a1,a2,a3,a4,a6] |
Generators |
[293960757474780932921:-43893781945683204905800:11459258012408851] |
Generators of the group modulo torsion |
j |
2452389160534358561651516/45692546768053107181875 |
j-invariant |
L |
4.6750518689982 |
L(r)(E,1)/r! |
Ω |
0.017912541694599 |
Real period |
R |
32.624152037619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440u3 9240g4 |
Quadratic twists by: -4 -3 |