Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568be |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.5422617654761E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137437635,-620166980158] |
[a1,a2,a3,a4,a6] |
Generators |
[795929895184718614806117216521171893444787:19223140580556497254099050709126816812324672:57677882138122502873623165556449065299] |
Generators of the group modulo torsion |
j |
-96150878306977529778625/516500344769472 |
j-invariant |
L |
5.6767669991396 |
L(r)(E,1)/r! |
Ω |
0.022046669959073 |
Real period |
R |
64.37215925061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946h3 23856n3 |
Quadratic twists by: -4 -3 |