Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270z |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
9666048 |
Modular degree for the optimal curve |
Δ |
4.9681324218172E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -1 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83165921,289938209225] |
[a1,a2,a3,a4,a6] |
Generators |
[5846:56659:1] |
Generators of the group modulo torsion |
j |
2406050132401999/18790481920 |
j-invariant |
L |
9.7090744335446 |
L(r)(E,1)/r! |
Ω |
0.093569623638914 |
Real period |
R |
1.7890190057392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270ba1 |
Quadratic twists by: -31 |