Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
16380d |
Isogeny class |
Conductor |
16380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
95528160000 = 28 · 38 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4143,101558] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:54:1] [-41:450:1] |
Generators of the group modulo torsion |
j |
42140629456/511875 |
j-invariant |
L |
6.4792962702719 |
L(r)(E,1)/r! |
Ω |
1.0718820122006 |
Real period |
R |
1.0074641606263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520df2 5460b2 81900y2 114660bt2 |
Quadratic twists by: -4 -3 5 -7 |