Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bk |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.1284628547939E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128279919,-559138969870] |
[a1,a2,a3,a4,a6] |
Generators |
[76564010605002356305:16307221344366903052410:1586425403926189] |
Generators of the group modulo torsion |
j |
1250927815588286657605072/221218217099297649 |
j-invariant |
L |
8.5298404553431 |
L(r)(E,1)/r! |
Ω |
0.044860539695047 |
Real period |
R |
23.767659936472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045763 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112b2 |
Quadratic twists by: -3 |