Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270j |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-36493975000000 = -1 · 26 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7756,122000] |
[a1,a2,a3,a4,a6] |
Generators |
[16:492:1] |
Generators of the group modulo torsion |
j |
1731890916729/1225000000 |
j-invariant |
L |
3.8938071602425 |
L(r)(E,1)/r! |
Ω |
0.41249782765879 |
Real period |
R |
0.58997388890529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270k2 |
Quadratic twists by: -31 |