Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066m |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
26243165530405824 = 26 · 3 · 73 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-467489431,3890308705045] |
[a1,a2,a3,a4,a6] |
Generators |
[12483:-6196:1] |
Generators of the group modulo torsion |
j |
4791869007894270293867/11129664 |
j-invariant |
L |
2.6703885086176 |
L(r)(E,1)/r! |
Ω |
0.1741230057882 |
Real period |
R |
2.5560364599157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bl2 |
Quadratic twists by: -11 |