Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29127f |
Isogeny class |
Conductor |
29127 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
43065082463697 = 311 · 74 · 19 · 732 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17950971,-29275357439] |
[a1,a2,a3,a4,a6] |
Generators |
[-208379204:104063661:85184] |
Generators of the group modulo torsion |
j |
639716442267069216187251625/43065082463697 |
j-invariant |
L |
8.6023455359691 |
L(r)(E,1)/r! |
Ω |
0.073346192043893 |
Real period |
R |
5.3310975700881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87381i2 |
Quadratic twists by: -3 |