Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cl |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28582917120 = 210 · 34 · 5 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459461,119719899] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3927:1] |
Generators of the group modulo torsion |
j |
10475401104030908416/27913005 |
j-invariant |
L |
8.2191160684732 |
L(r)(E,1)/r! |
Ω |
0.7778041781891 |
Real period |
R |
5.2835381314151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360f3 9840t3 118080gj3 |
Quadratic twists by: -4 8 -3 |