Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cp |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
569324872043928 = 23 · 32 · 74 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51972,4409208] |
[a1,a2,a3,a4,a6] |
Generators |
[186:996:1] |
Generators of the group modulo torsion |
j |
8763476225113/321369048 |
j-invariant |
L |
14.022150365864 |
L(r)(E,1)/r! |
Ω |
0.51373736675037 |
Real period |
R |
1.1372664381868 |
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 |
6006n2 |
Quadratic twists by: -11 |