Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275g |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
400517578125 = 33 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-79583,8667818] |
[a1,a2,a3,a4,a6] |
j |
5708079923200/41013 |
j-invariant |
L |
1.6965812261507 |
L(r)(E,1)/r! |
Ω |
0.84829061307536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825z1 16275ba1 113925bs1 |
Quadratic twists by: -3 5 -7 |