Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856v |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.8770502181056E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2362332,1882813120] |
[a1,a2,a3,a4,a6] |
Generators |
[1394:36036:1] |
Generators of the group modulo torsion |
j |
-488268868033624384/230311020357297 |
j-invariant |
L |
4.8055925073082 |
L(r)(E,1)/r! |
Ω |
0.1504110561545 |
Real period |
R |
3.9937161454513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856ba2 107712es1 17952j2 |
Quadratic twists by: -4 8 -3 |