Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744z |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
36162326574144 = 26 · 34 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29574,-1945944] |
[a1,a2,a3,a4,a6] |
Generators |
[100170:1302048:343] |
Generators of the group modulo torsion |
j |
1851804352/23409 |
j-invariant |
L |
6.1328435752529 |
L(r)(E,1)/r! |
Ω |
0.36433666745795 |
Real period |
R |
8.4164512153592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27744r1 55488cl2 83232j1 1632h1 |
Quadratic twists by: -4 8 -3 17 |