Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.5875812962697E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7403720,-7360049292] |
[a1,a2,a3,a4,a6] |
Generators |
[-1412:16758:1] |
Generators of the group modulo torsion |
j |
93137706732176569/5369647977540 |
j-invariant |
L |
10.198846198832 |
L(r)(E,1)/r! |
Ω |
0.091853856319258 |
Real period |
R |
2.7758350290777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170p4 18480bu4 |
Quadratic twists by: -4 -7 |