Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cu |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
90476006292 = 22 · 38 · 73 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3109,-65395] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:53:1] |
Generators of the group modulo torsion |
j |
9689480404759/263778444 |
j-invariant |
L |
13.789218280043 |
L(r)(E,1)/r! |
Ω |
0.64042100823523 |
Real period |
R |
1.3457180923743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128478ce2 |
Quadratic twists by: -7 |