Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148k |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
591666768 = 24 · 34 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2053,36478] |
[a1,a2,a3,a4,a6] |
Generators |
[19:63:1] |
Generators of the group modulo torsion |
j |
131072000/81 |
j-invariant |
L |
4.1629034799973 |
L(r)(E,1)/r! |
Ω |
1.6137863945591 |
Real period |
R |
0.4299312776848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71148bk1 71148j1 |
Quadratic twists by: -7 -11 |