Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974bg |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
35783246413824 = 216 · 3 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8919,-152979] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:170:1] |
Generators of the group modulo torsion |
j |
666940371553/304152576 |
j-invariant |
L |
7.8309602719955 |
L(r)(E,1)/r! |
Ω |
0.51295219046744 |
Real period |
R |
1.9083065676315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282x1 |
Quadratic twists by: -7 |