Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550m |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-24001012800 = -1 · 26 · 37 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-612,9616] |
[a1,a2,a3,a4,a6] |
Generators |
[80:644:1] |
Generators of the group modulo torsion |
j |
-1392225385/1316928 |
j-invariant |
L |
2.8069233565182 |
L(r)(E,1)/r! |
Ω |
1.0931895603264 |
Real period |
R |
0.10698523302766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400eh2 2850s2 8550bm2 |
Quadratic twists by: -4 -3 5 |