Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912n |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
308202207835392 = 28 · 38 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102855,-12668438] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:162:1] |
Generators of the group modulo torsion |
j |
644811009586000/1651460733 |
j-invariant |
L |
4.2125750594399 |
L(r)(E,1)/r! |
Ω |
0.26663063607377 |
Real period |
R |
1.9749113987197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31824f2 127296y2 5304f2 |
Quadratic twists by: -4 8 -3 |