Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bf |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8238032750592000 = -1 · 214 · 314 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4188,4368112] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-2088:1] |
Generators of the group modulo torsion |
j |
-680136784/689725125 |
j-invariant |
L |
3.71700157835 |
L(r)(E,1)/r! |
Ω |
0.33431084289155 |
Real period |
R |
1.3897999624521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fa2 5220o2 27840bw2 |
Quadratic twists by: -4 8 -3 |