Atkin-Lehner |
11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64009b |
Isogeny class |
Conductor |
64009 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
75504 |
Modular degree for the optimal curve |
Δ |
-2167393450849 = -1 · 114 · 236 |
Discriminant |
Eigenvalues |
1 2 -1 2 11- 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333,72714] |
[a1,a2,a3,a4,a6] |
Generators |
[3594:38936:27] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
10.673945112161 |
L(r)(E,1)/r! |
Ω |
0.70525349008298 |
Real period |
R |
2.522484293941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64009c2 121c1 |
Quadratic twists by: -11 -23 |