Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470di |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-1666170106494566400 = -1 · 214 · 33 · 52 · 74 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,221527,47339881] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:-5888:1] |
Generators of the group modulo torsion |
j |
9225324907317/12784844800 |
j-invariant |
L |
10.996785981617 |
L(r)(E,1)/r! |
Ω |
0.17980838470617 |
Real period |
R |
0.27302839410855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470n1 8190c1 |
Quadratic twists by: -3 13 |