Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056k |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-22881723696 = -1 · 24 · 314 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,654,3395] |
[a1,a2,a3,a4,a6] |
Generators |
[164:4565:64] |
Generators of the group modulo torsion |
j |
2652219392/1961739 |
j-invariant |
L |
4.730663901465 |
L(r)(E,1)/r! |
Ω |
0.76747534361184 |
Real period |
R |
6.1639294875583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21528q1 14352j1 |
Quadratic twists by: -4 -3 |