Atkin-Lehner |
2- 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330br |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1397125418400360000 = 26 · 312 · 54 · 114 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1961042,-1054986991] |
[a1,a2,a3,a4,a6] |
Generators |
[-833:591:1] [-813:1621:1] |
Generators of the group modulo torsion |
j |
1144080705868821649369/1916495772840000 |
j-invariant |
L |
14.166094986695 |
L(r)(E,1)/r! |
Ω |
0.12759144173032 |
Real period |
R |
4.6261249953255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22110e2 |
Quadratic twists by: -3 |