Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782p |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-25930731008 = -1 · 29 · 72 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-410,8212] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:114:1] |
Generators of the group modulo torsion |
j |
-156146853625/529198592 |
j-invariant |
L |
3.3964841263273 |
L(r)(E,1)/r! |
Ω |
1.0435855897971 |
Real period |
R |
1.0848763977668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782c2 |
Quadratic twists by: -7 |