Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912m |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137822155630848 = 28 · 38 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13935,-286094] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:216:1] |
Generators of the group modulo torsion |
j |
1603530178000/738501777 |
j-invariant |
L |
5.4003630958563 |
L(r)(E,1)/r! |
Ω |
0.45917161726273 |
Real period |
R |
2.9402748846116 |
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 |
31824d2 127296s2 5304e2 |
Quadratic twists by: -4 8 -3 |