Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ck |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-111317563768320 = -1 · 29 · 37 · 5 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7929,577773] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:6183:8] |
Generators of the group modulo torsion |
j |
-447502578601/903544320 |
j-invariant |
L |
4.724657441353 |
L(r)(E,1)/r! |
Ω |
0.52784530133127 |
Real period |
R |
2.2377093347781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490cz2 106470eu2 |
Quadratic twists by: -3 13 |