Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
39648a |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.6162679213836E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4564273,-3734352671] |
[a1,a2,a3,a4,a6] |
j |
2567312275833493768000/13711591604940327 |
j-invariant |
L |
0.20664565683298 |
L(r)(E,1)/r! |
Ω |
0.10332282839436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39648d2 79296bw1 118944s2 |
Quadratic twists by: -4 8 -3 |