Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680dg |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7143547890124800 = -1 · 211 · 34 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34480,-3223200] |
[a1,a2,a3,a4,a6] |
Generators |
[8570:284445:8] |
Generators of the group modulo torsion |
j |
18814587262/29648025 |
j-invariant |
L |
8.1533189878223 |
L(r)(E,1)/r! |
Ω |
0.22129142148211 |
Real period |
R |
4.6055326800366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bp3 1320f4 |
Quadratic twists by: -4 -7 |