Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270k |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.2388537146822E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7453336,-3694129152] |
[a1,a2,a3,a4,a6] |
Generators |
[512:15744:1] |
Generators of the group modulo torsion |
j |
1731890916729/1225000000 |
j-invariant |
L |
4.116824104445 |
L(r)(E,1)/r! |
Ω |
0.065878015558754 |
Real period |
R |
3.9057264297825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270j2 |
Quadratic twists by: -31 |