Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770q |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
11809081964160 = 27 · 310 · 5 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-577071,-168970251] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:228:1] |
Generators of the group modulo torsion |
j |
21252572623855044674929/11809081964160 |
j-invariant |
L |
6.4181683119134 |
L(r)(E,1)/r! |
Ω |
0.17321769403974 |
Real period |
R |
2.6466152678543 |
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 |
50310x2 83850r2 |
Quadratic twists by: -3 5 |