Atkin-Lehner |
2- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81344i |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1457903198642634752 = 229 · 312 · 414 |
Discriminant |
Eigenvalues |
2- 2 -2 0 6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-629569,183494625] |
[a1,a2,a3,a4,a6] |
Generators |
[-195638553:-16867449856:970299] |
Generators of the group modulo torsion |
j |
105272390671409233/5561459345408 |
j-invariant |
L |
8.8255439523857 |
L(r)(E,1)/r! |
Ω |
0.26543195457221 |
Real period |
R |
8.3124354494324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344c2 20336c2 |
Quadratic twists by: -4 8 |