Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472l |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
158744793860538368 = 227 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50503713,-138161168321] |
[a1,a2,a3,a4,a6] |
Generators |
[19343438326:976189767585:2048383] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
3.7081069030082 |
L(r)(E,1)/r! |
Ω |
0.05663289035816 |
Real period |
R |
16.369051771307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472de6 4046b6 448c6 |
Quadratic twists by: -4 8 17 |