Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770z |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18923022003600 = 24 · 34 · 52 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12679,507002] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1052:1] |
Generators of the group modulo torsion |
j |
46694890801/3920400 |
j-invariant |
L |
5.4047365736029 |
L(r)(E,1)/r! |
Ω |
0.67087355275449 |
Real period |
R |
1.0070333953978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998137 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
330b2 |
Quadratic twists by: 13 |