Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fj |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1338162384384000 = 212 · 37 · 53 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28013,405717] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-1032:1] |
Generators of the group modulo torsion |
j |
68055688684249/37461504000 |
j-invariant |
L |
9.5765519048306 |
L(r)(E,1)/r! |
Ω |
0.41878845185484 |
Real period |
R |
0.31760108020547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630t2 127890fp2 |
Quadratic twists by: -3 -7 |