Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066l |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-20633204592 = -1 · 24 · 32 · 72 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,196,6912] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:80:1] |
Generators of the group modulo torsion |
j |
620650477/15502032 |
j-invariant |
L |
4.8580314255639 |
L(r)(E,1)/r! |
Ω |
0.91067727659698 |
Real period |
R |
0.44454381656707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bk1 |
Quadratic twists by: -11 |