Atkin-Lehner |
2- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550u |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
16268800 = 29 · 52 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 3 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-128,512] |
[a1,a2,a3,a4,a6] |
Generators |
[8:0:1] |
Generators of the group modulo torsion |
j |
9281659945/650752 |
j-invariant |
L |
12.93792144959 |
L(r)(E,1)/r! |
Ω |
2.1578871711964 |
Real period |
R |
0.66618257290647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550i1 |
Quadratic twists by: 5 |