Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
39648g |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3565214134272 = 212 · 36 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3953,31329] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:236:1] [-49:324:1] |
Generators of the group modulo torsion |
j |
1668222856000/870413607 |
j-invariant |
L |
7.6099585112437 |
L(r)(E,1)/r! |
Ω |
0.69449949368862 |
Real period |
R |
2.7393679118562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39648l2 79296ca1 118944h2 |
Quadratic twists by: -4 8 -3 |