Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605i |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5723136 |
Modular degree for the optimal curve |
Δ |
1.817075166192E+21 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3266586,-979990642] |
[a1,a2,a3,a4,a6] |
Generators |
[-280491229583231514:-4979906881139151626:193110574693401] |
Generators of the group modulo torsion |
j |
18191447/8575 |
j-invariant |
L |
6.3111247585808 |
L(r)(E,1)/r! |
Ω |
0.11758310855021 |
Real period |
R |
26.836868249318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515k1 129605ba1 |
Quadratic twists by: -7 -23 |