Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616o |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
107702784 = 29 · 34 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-544,5044] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:98:1] [4:54:1] |
Generators of the group modulo torsion |
j |
34837625096/210357 |
j-invariant |
L |
6.3123809996228 |
L(r)(E,1)/r! |
Ω |
1.8904230182422 |
Real period |
R |
1.6695683819729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35616y2 71232cz2 106848j2 |
Quadratic twists by: -4 8 -3 |