Atkin-Lehner |
2+ 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650a |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
146309120000000 = 221 · 57 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -1 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32942,-2218284] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:288:1] |
Generators of the group modulo torsion |
j |
253023576627249/9363783680 |
j-invariant |
L |
3.2514020141981 |
L(r)(E,1)/r! |
Ω |
0.35518056773541 |
Real period |
R |
4.5771113477931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930i1 |
Quadratic twists by: 5 |