Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bk |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
170196992 = 216 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 3 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1920,-31744] |
[a1,a2,a3,a4,a6] |
Generators |
[-672:64:27] |
Generators of the group modulo torsion |
j |
3902092369/848 |
j-invariant |
L |
5.7625763947253 |
L(r)(E,1)/r! |
Ω |
0.72120887628246 |
Real period |
R |
1.9975407209437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194p1 41552u1 |
Quadratic twists by: -4 -7 |