Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ey |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-3997626048000000000 = -1 · 215 · 37 · 59 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,242853,84450314] |
[a1,a2,a3,a4,a6] |
Generators |
[2743:-146250:1] [-211:4880:1] |
Generators of the group modulo torsion |
j |
18573478391/46875000 |
j-invariant |
L |
11.872505633925 |
L(r)(E,1)/r! |
Ω |
0.17295320647189 |
Real period |
R |
0.15890224010776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210bp2 40560bj2 121680do2 |
Quadratic twists by: -4 -3 13 |