Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cl |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.295226736379E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9859829,-11905098235] |
[a1,a2,a3,a4,a6] |
Generators |
[-4945318:-5501413:2744] |
Generators of the group modulo torsion |
j |
82082047379525857/71974117512 |
j-invariant |
L |
12.042354461934 |
L(r)(E,1)/r! |
Ω |
0.085203036750679 |
Real period |
R |
11.778095907908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794r3 3762h3 |
Quadratic twists by: -3 -11 |