Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bt |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4395238848 = -1 · 26 · 34 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118,-3277] |
[a1,a2,a3,a4,a6] |
Generators |
[39:211:1] |
Generators of the group modulo torsion |
j |
-136590875/3302208 |
j-invariant |
L |
8.2926970022027 |
L(r)(E,1)/r! |
Ω |
0.5976167198588 |
Real period |
R |
1.1563566757314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066b1 |
Quadratic twists by: -11 |