Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085n |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.6991732879297E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34842981,-4322669130] |
[a1,a2,a3,a4,a6] |
Generators |
[-1189:188810:1] |
Generators of the group modulo torsion |
j |
2640666246538826746729/1523612953733866875 |
j-invariant |
L |
5.1730336905028 |
L(r)(E,1)/r! |
Ω |
0.067778703167698 |
Real period |
R |
6.360200482626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735f2 |
Quadratic twists by: -11 |