Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275i |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
273533925 = 3 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18873,-991687] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:0:1] [2074:27093:8] |
Generators of the group modulo torsion |
j |
29739217310187520/10941357 |
j-invariant |
L |
4.9809318257192 |
L(r)(E,1)/r! |
Ω |
0.40732157246033 |
Real period |
R |
6.1142499716297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825x2 16275bc2 113925bv2 |
Quadratic twists by: -3 5 -7 |