Atkin-Lehner |
3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11685d |
Isogeny class |
Conductor |
11685 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-161715835546875 = -1 · 312 · 58 · 19 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5338,629531] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:812:1] |
Generators of the group modulo torsion |
j |
-16816765244088601/161715835546875 |
j-invariant |
L |
6.8096622650452 |
L(r)(E,1)/r! |
Ω |
0.49066140981754 |
Real period |
R |
0.57827235244713 |
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 |
35055c3 58425a3 |
Quadratic twists by: -3 5 |