Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066s |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2856211875359E+22 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ 13- 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13107328,-17432384818] |
[a1,a2,a3,a4,a6] |
Generators |
[-2192:28805:1] |
Generators of the group modulo torsion |
j |
105616555675035371/5452288837632 |
j-invariant |
L |
4.4389968316481 |
L(r)(E,1)/r! |
Ω |
0.079599887556857 |
Real period |
R |
3.4853981647293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066cr2 |
Quadratic twists by: -11 |