Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cx |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
3.0885092508228E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9450657,11176210143] |
[a1,a2,a3,a4,a6] |
Generators |
[1557:15444:1] |
Generators of the group modulo torsion |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
8.3526064366955 |
L(r)(E,1)/r! |
Ω |
0.20448926692096 |
Real period |
R |
2.9175846461815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424m1 11856y1 |
Quadratic twists by: -4 8 |