Atkin-Lehner |
2- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150n |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
586896896000000 = 215 · 56 · 293 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83613,-9267469] |
[a1,a2,a3,a4,a6] |
j |
4137380171974153/37561401344 |
j-invariant |
L |
4.2136675830308 |
L(r)(E,1)/r! |
Ω |
0.28091117300501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726c2 |
Quadratic twists by: 5 |