Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fh |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
Δ |
1.2928001958298E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29722748,29966198847] |
[a1,a2,a3,a4,a6] |
Generators |
[-2497:298923:1] |
Generators of the group modulo torsion |
j |
33859053078578051689/15073553295360000 |
j-invariant |
L |
8.2767779574866 |
L(r)(E,1)/r! |
Ω |
0.077253142316951 |
Real period |
R |
1.913185706702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999123868 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42630r2 18270bw2 |
Quadratic twists by: -3 -7 |