Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056t |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4758174403632 = -1 · 24 · 39 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3240,-77301] |
[a1,a2,a3,a4,a6] |
Generators |
[38980:966023:64] |
Generators of the group modulo torsion |
j |
11943936000/15108769 |
j-invariant |
L |
6.3220372765178 |
L(r)(E,1)/r! |
Ω |
0.41246215740863 |
Real period |
R |
7.663778558789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10764a1 43056r1 |
Quadratic twists by: -4 -3 |