Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050ce |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
4952064 |
Modular degree for the optimal curve |
Δ |
1.144263278592E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10035463,12234497417] |
[a1,a2,a3,a4,a6] |
Generators |
[1718:-8923:1] |
Generators of the group modulo torsion |
j |
7153456342594874188969/732328498298880 |
j-invariant |
L |
13.332548340719 |
L(r)(E,1)/r! |
Ω |
0.21727862495016 |
Real period |
R |
0.59001468841056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210e1 |
Quadratic twists by: 5 |