Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cp |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-26216948581824 = -1 · 26 · 3 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1268,245840] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1744:1] |
Generators of the group modulo torsion |
j |
127263527/14798784 |
j-invariant |
L |
14.022150365864 |
L(r)(E,1)/r! |
Ω |
0.51373736675037 |
Real period |
R |
2.2745328763736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006n1 |
Quadratic twists by: -11 |