Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744w |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-118033833938006016 = -1 · 212 · 35 · 179 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -5 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63965,17642187] |
[a1,a2,a3,a4,a6] |
Generators |
[181:-3468:1] |
Generators of the group modulo torsion |
j |
-292754944/1193859 |
j-invariant |
L |
7.172274478213 |
L(r)(E,1)/r! |
Ω |
0.28935693545639 |
Real period |
R |
1.239347255821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27744b1 55488d1 83232h1 1632g1 |
Quadratic twists by: -4 8 -3 17 |