Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14160a |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-159702710400000 = -1 · 210 · 35 · 55 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 6 -3 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11416,-764384] |
[a1,a2,a3,a4,a6] |
Generators |
[41106:1599238:27] |
Generators of the group modulo torsion |
j |
-160695486160996/155959678125 |
j-invariant |
L |
3.9436334195487 |
L(r)(E,1)/r! |
Ω |
0.22216285311698 |
Real period |
R |
8.8755463936004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7080e1 56640df1 42480m1 70800k1 |
Quadratic twists by: -4 8 -3 5 |