Atkin-Lehner |
2+ 3- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934q |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7847090080596 = -1 · 22 · 38 · 134 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3762,100440] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-354:1] [-114:1731:8] |
Generators of the group modulo torsion |
j |
8075838390047/10764183924 |
j-invariant |
L |
6.5693276754633 |
L(r)(E,1)/r! |
Ω |
0.49838695702061 |
Real period |
R |
0.82382368481885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42978u2 |
Quadratic twists by: -3 |