Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296do |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
39668056915968 = 216 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60204,5677648] |
[a1,a2,a3,a4,a6] |
Generators |
[29:1989:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
7.3525482815318 |
L(r)(E,1)/r! |
Ω |
0.64605903275338 |
Real period |
R |
0.94838447000112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bn1 31824l1 14144y1 |
Quadratic twists by: -4 8 -3 |