Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552r |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-5432469046240752 = -1 · 24 · 39 · 297 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -3 -7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32799,-4219297] |
[a1,a2,a3,a4,a6] |
Generators |
[289:3231:1] |
Generators of the group modulo torsion |
j |
-562432/783 |
j-invariant |
L |
6.1730802364055 |
L(r)(E,1)/r! |
Ω |
0.16880376322079 |
Real period |
R |
4.5711956585163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104m1 20184a1 2088f1 |
Quadratic twists by: -4 -3 29 |