Atkin-Lehner |
3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5289a |
Isogeny class |
Conductor |
5289 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-15867 = -1 · 32 · 41 · 43 |
Discriminant |
Eigenvalues |
0 3+ 2 1 2 4 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
2097152/15867 |
j-invariant |
L |
3.2778411557397 |
L(r)(E,1)/r! |
Ω |
1.9495557172968 |
Real period |
R |
0.84066362573232 |
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 |
84624u1 15867f1 |
Quadratic twists by: -4 -3 |