Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fx |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-229498714383120 = -1 · 24 · 315 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15178,-118699] |
[a1,a2,a3,a4,a6] |
Generators |
[39:709:1] |
Generators of the group modulo torsion |
j |
18573478391/11022480 |
j-invariant |
L |
13.550253690738 |
L(r)(E,1)/r! |
Ω |
0.32652467991821 |
Real period |
R |
0.86455012129781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490bf1 106470bb1 |
Quadratic twists by: -3 13 |