Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275l |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
139558125 = 3 · 54 · 74 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 5 0 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9933,384368] |
[a1,a2,a3,a4,a6] |
Generators |
[56:24:1] |
Generators of the group modulo torsion |
j |
173431796531200/223293 |
j-invariant |
L |
3.6007728469732 |
L(r)(E,1)/r! |
Ω |
1.55802989408 |
Real period |
R |
0.38518439864932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825br1 16275r1 113925cw1 |
Quadratic twists by: -3 5 -7 |