Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fv |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.0063333076675E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2195061,-873266438] |
[a1,a2,a3,a4,a6] |
Generators |
[13773:525770:27] |
Generators of the group modulo torsion |
j |
221115865823/190238433 |
j-invariant |
L |
8.2987754630839 |
L(r)(E,1)/r! |
Ω |
0.08603121069333 |
Real period |
R |
6.0288988532813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797045 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7623i4 40656dk3 11088bh4 |
Quadratic twists by: -4 -3 -11 |