Atkin-Lehner |
3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205g |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
183477562497225 = 33 · 52 · 437 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14214,-23777] |
[a1,a2,a3,a4,a6] |
Generators |
[-5334:172775:2744] |
Generators of the group modulo torsion |
j |
1860867/1075 |
j-invariant |
L |
10.238076922548 |
L(r)(E,1)/r! |
Ω |
0.47767934814572 |
Real period |
R |
5.3582371519634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205c1 1935b1 |
Quadratic twists by: -3 -43 |