Atkin-Lehner |
2+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240g |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
909440000 = 210 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560,4708] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:70:1] [-14:100:1] |
Generators of the group modulo torsion |
j |
19000416964/888125 |
j-invariant |
L |
5.1268919084586 |
L(r)(E,1)/r! |
Ω |
1.5560789600295 |
Real period |
R |
0.41184381064133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120e2 64960ba2 81200k2 113680c2 |
Quadratic twists by: -4 8 5 -7 |