Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950ba |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3902798708153125000 = 23 · 58 · 116 · 893 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-430388,52656392] |
[a1,a2,a3,a4,a6] |
Generators |
[-6578502:5806172:9261] |
Generators of the group modulo torsion |
j |
22570657065800545/9991164692872 |
j-invariant |
L |
12.009373071432 |
L(r)(E,1)/r! |
Ω |
0.22294466820863 |
Real period |
R |
8.9778427744141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48950b2 |
Quadratic twists by: 5 |