Atkin-Lehner |
3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16275b |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1825158603515625 = 34 · 510 · 74 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-316500,68371875] |
[a1,a2,a3,a4,a6] |
Generators |
[2302:7715:8] |
Generators of the group modulo torsion |
j |
224402129131602241/116810150625 |
j-invariant |
L |
4.4136491006811 |
L(r)(E,1)/r! |
Ω |
0.46349871346779 |
Real period |
R |
4.761231231538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48825t2 3255f2 113925ch2 |
Quadratic twists by: -3 5 -7 |