Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850bl |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11279999250000 = 24 · 38 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26763,1666281] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1752:1] |
Generators of the group modulo torsion |
j |
135677890491625/721919952 |
j-invariant |
L |
8.8976733780803 |
L(r)(E,1)/r! |
Ω |
0.72142370314013 |
Real period |
R |
1.5416864838535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794e2 |
Quadratic twists by: 5 |