Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cu |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.8828549179772E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4296672,3415983808] |
[a1,a2,a3,a4,a6] |
Generators |
[597:32311:1] [-1768:74936:1] |
Generators of the group modulo torsion |
j |
57736239625/255552 |
j-invariant |
L |
8.8257806820138 |
L(r)(E,1)/r! |
Ω |
0.20574415015921 |
Real period |
R |
2.6810545637971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574by3 2178c3 9702ca3 |
Quadratic twists by: -3 -7 -11 |