Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216o |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.262658011703E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23536659,-44801611918] |
[a1,a2,a3,a4,a6] |
Generators |
[1967428190794744272019689348936002616310:411850502141682208861555931909052281811294:44337328983143260299677340323027875] |
Generators of the group modulo torsion |
j |
-965829969719717854754/21853151334387711 |
j-invariant |
L |
7.5169692782029 |
L(r)(E,1)/r! |
Ω |
0.034225675925767 |
Real period |
R |
54.907383751768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608g5 33072e5 |
Quadratic twists by: -4 -3 |