Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
114224m |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.1065913558299E+21 |
Discriminant |
Eigenvalues |
2- -1 3 5 11- 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3501216,-913697024] |
[a1,a2,a3,a4,a6] |
Generators |
[895232240:129869285888:42875] |
Generators of the group modulo torsion |
j |
654130263799943/428122517504 |
j-invariant |
L |
8.8428858513315 |
L(r)(E,1)/r! |
Ω |
0.081077481044697 |
Real period |
R |
13.633387647382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278h2 10384e2 |
Quadratic twists by: -4 -11 |