Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56416p |
Isogeny class |
Conductor |
56416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-71767470592 = -1 · 29 · 41 · 434 |
Discriminant |
Eigenvalues |
2- 0 2 0 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,12922] |
[a1,a2,a3,a4,a6] |
Generators |
[105688230274:-3587134625640:91733851] |
Generators of the group modulo torsion |
j |
-1238833224/140170841 |
j-invariant |
L |
6.9673046657378 |
L(r)(E,1)/r! |
Ω |
0.89766783190126 |
Real period |
R |
15.52312429628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56416k2 112832m3 |
Quadratic twists by: -4 8 |