Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744o |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2127195680832 = 26 · 34 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132458,18599280] |
[a1,a2,a3,a4,a6] |
j |
166375000000/1377 |
j-invariant |
L |
1.4824250646332 |
L(r)(E,1)/r! |
Ω |
0.74121253231611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27744h1 55488bb1 83232d1 1632i1 |
Quadratic twists by: -4 8 -3 17 |