Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720o |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.022807110244E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2167947,588935286] |
[a1,a2,a3,a4,a6] |
Generators |
[-1433:27440:1] |
Generators of the group modulo torsion |
j |
1509531602170901796/672851175390625 |
j-invariant |
L |
5.6035017132964 |
L(r)(E,1)/r! |
Ω |
0.14861852190152 |
Real period |
R |
2.3564953587218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440br2 3080c2 |
Quadratic twists by: -4 -3 |