Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770i |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
3782649543075000 = 23 · 36 · 55 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5732098,5281765628] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:82520:1] |
Generators of the group modulo torsion |
j |
20828808332352840720441241/3782649543075000 |
j-invariant |
L |
4.7257029934339 |
L(r)(E,1)/r! |
Ω |
0.3483009482673 |
Real period |
R |
0.90452485930974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bt2 83850by2 |
Quadratic twists by: -3 5 |