Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45632l |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
11962155008 = 224 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 2 4 0 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121,-13087] |
[a1,a2,a3,a4,a6] |
Generators |
[-132226380:-73810727:5832000] |
Generators of the group modulo torsion |
j |
594823321/45632 |
j-invariant |
L |
11.193855916952 |
L(r)(E,1)/r! |
Ω |
0.82902901361882 |
Real period |
R |
13.502369317679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632q1 1426d1 |
Quadratic twists by: -4 8 |