Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632u |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
747634688 = 220 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 -4 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-993,-11647] |
[a1,a2,a3,a4,a6] |
Generators |
[-462570:177571:27000] |
Generators of the group modulo torsion |
j |
413493625/2852 |
j-invariant |
L |
7.8366257752605 |
L(r)(E,1)/r! |
Ω |
0.85075854618838 |
Real period |
R |
9.2113394691939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632e1 11408i1 |
Quadratic twists by: -4 8 |