Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470cf |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
2.7895712169965E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24978654,47989920460] |
[a1,a2,a3,a4,a6] |
Generators |
[101:213182:1] |
Generators of the group modulo torsion |
j |
82780849946780654929/133978933305000 |
j-invariant |
L |
5.1909331771862 |
L(r)(E,1)/r! |
Ω |
0.14331499708723 |
Real period |
R |
0.7545926338062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490ca1 106470eo1 |
Quadratic twists by: -3 13 |