Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15824f |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-100728356024048 = -1 · 24 · 237 · 432 |
Discriminant |
Eigenvalues |
2- 1 -4 4 0 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6010,-446341] |
[a1,a2,a3,a4,a6] |
Generators |
[140854:19909:2744] |
Generators of the group modulo torsion |
j |
1500219760227584/6295522251503 |
j-invariant |
L |
4.9450279847923 |
L(r)(E,1)/r! |
Ω |
0.30257666010125 |
Real period |
R |
8.1715291310598 |
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 |
3956b1 63296o1 |
Quadratic twists by: -4 8 |