Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066by |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3.5540674462214E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1101163,528768329] |
[a1,a2,a3,a4,a6] |
Generators |
[457:-11240:1] |
Generators of the group modulo torsion |
j |
-83353234419015625/20061784190448 |
j-invariant |
L |
9.1957644663421 |
L(r)(E,1)/r! |
Ω |
0.1966099149486 |
Real period |
R |
0.48720438751088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006a1 |
Quadratic twists by: -11 |