Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720o |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5627854114727E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29392947,61306130286] |
[a1,a2,a3,a4,a6] |
Generators |
[3222:7110:1] |
Generators of the group modulo torsion |
j |
1881029584733429900898/1046747344575625 |
j-invariant |
L |
5.6035017132964 |
L(r)(E,1)/r! |
Ω |
0.14861852190152 |
Real period |
R |
4.7129907174436 |
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 |
55440br4 3080c3 |
Quadratic twists by: -4 -3 |