Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bz |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2259472574800 = 24 · 52 · 77 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4313,-81943] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:75:1] |
Generators of the group modulo torsion |
j |
3016755625/768208 |
j-invariant |
L |
11.409445345718 |
L(r)(E,1)/r! |
Ω |
0.60017610736878 |
Real period |
R |
1.1881351579148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bg1 6650u1 |
Quadratic twists by: 5 -7 |