Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672z |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-877735936 = -1 · 212 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584,-5616] |
[a1,a2,a3,a4,a6] |
Generators |
[32:92:1] |
Generators of the group modulo torsion |
j |
-5377771008/214291 |
j-invariant |
L |
2.7033562089908 |
L(r)(E,1)/r! |
Ω |
0.48445478844679 |
Real period |
R |
2.7901016497877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672i1 113344bn1 |
Quadratic twists by: -4 8 |