Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924g |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
64560052630122192 = 24 · 312 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-811200,-280950163] |
[a1,a2,a3,a4,a6] |
Generators |
[20722:979693:8] |
Generators of the group modulo torsion |
j |
1048576000000/1146717 |
j-invariant |
L |
6.393667657843 |
L(r)(E,1)/r! |
Ω |
0.15909117354684 |
Real period |
R |
5.0235876654943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308a1 5148f1 |
Quadratic twists by: -3 13 |