Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552m |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-5432469046240752 = -1 · 24 · 39 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -3 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113535,-15145569] |
[a1,a2,a3,a4,a6] |
j |
-864000/29 |
j-invariant |
L |
2.0765887228371 |
L(r)(E,1)/r! |
Ω |
0.1297867949743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104a1 60552a1 2088a1 |
Quadratic twists by: -4 -3 29 |