Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990z |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
122504412420 = 22 · 33 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14903,-696309] |
[a1,a2,a3,a4,a6] |
j |
13556692084724307/4537200460 |
j-invariant |
L |
3.4568625827632 |
L(r)(E,1)/r! |
Ω |
0.43210782296044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990d2 |
Quadratic twists by: -3 |