Atkin-Lehner |
5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122815l |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-279576738539484155 = -1 · 5 · 76 · 117 · 293 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 11- 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120435,30059101] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:49731:8] [469:8772:1] |
Generators of the group modulo torsion |
j |
-109050926104576/157813780355 |
j-invariant |
L |
11.933748776907 |
L(r)(E,1)/r! |
Ω |
0.27782424241539 |
Real period |
R |
1.7897629371204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165f2 |
Quadratic twists by: -11 |