Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560o |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
563046972903993600 = 28 · 310 · 52 · 116 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-543540,149773788] |
[a1,a2,a3,a4,a6] |
Generators |
[18:11832:1] |
Generators of the group modulo torsion |
j |
69371179051583568976/2199402237906225 |
j-invariant |
L |
9.1845388647918 |
L(r)(E,1)/r! |
Ω |
0.28977697033975 |
Real period |
R |
3.169519942419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001455 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38280o2 |
Quadratic twists by: -4 |