Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552n |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-476924580191232 = -1 · 210 · 33 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17661,536558] |
[a1,a2,a3,a4,a6] |
j |
37044/29 |
j-invariant |
L |
0.67503080022334 |
L(r)(E,1)/r! |
Ω |
0.33751539944856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121104c1 60552b1 2088b1 |
Quadratic twists by: -4 -3 29 |