Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15950o |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
46558837531250000 = 24 · 59 · 116 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-246563,45863281] |
[a1,a2,a3,a4,a6] |
Generators |
[125:4062:1] |
Generators of the group modulo torsion |
j |
106093191228100201/2979765602000 |
j-invariant |
L |
9.860218846629 |
L(r)(E,1)/r! |
Ω |
0.35724894285155 |
Real period |
R |
0.57500863216493 |
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 |
127600t2 3190c2 |
Quadratic twists by: -4 5 |