Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360di |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
968256000000 = 212 · 32 · 56 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20505,-1136025] |
[a1,a2,a3,a4,a6] |
Generators |
[405:7560:1] |
Generators of the group modulo torsion |
j |
232789970236096/236390625 |
j-invariant |
L |
8.6340535345368 |
L(r)(E,1)/r! |
Ω |
0.39898753148765 |
Real period |
R |
3.6066513583956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360cf2 19680d1 118080eo2 |
Quadratic twists by: -4 8 -3 |