Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5922m |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-15843965534208 = -1 · 220 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21425,1227489] |
[a1,a2,a3,a4,a6] |
Generators |
[23:852:1] |
Generators of the group modulo torsion |
j |
-1491899855559625/21733834752 |
j-invariant |
L |
5.7320461613794 |
L(r)(E,1)/r! |
Ω |
0.69950313567265 |
Real period |
R |
0.20486134618494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bo1 1974a1 41454bv1 |
Quadratic twists by: -4 -3 -7 |