Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cs |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-953856000 = -1 · 212 · 34 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-1557] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-180:1] |
Generators of the group modulo torsion |
j |
-175616/1863 |
j-invariant |
L |
8.3222388859747 |
L(r)(E,1)/r! |
Ω |
0.6660943434819 |
Real period |
R |
0.78088026938788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200n1 110400cg1 55200m1 |
Quadratic twists by: -4 8 5 |