Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5824z |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1209957711872 = -1 · 215 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 7- -1 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2527,21119] |
[a1,a2,a3,a4,a6] |
Generators |
[35:392:1] |
Generators of the group modulo torsion |
j |
54439939000/36924979 |
j-invariant |
L |
4.6531756493887 |
L(r)(E,1)/r! |
Ω |
0.54429210108409 |
Real period |
R |
0.42745206481232 |
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 |
5824r1 2912c1 52416fs1 40768dn1 |
Quadratic twists by: -4 8 -3 -7 |