Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5060a |
Isogeny class |
Conductor |
5060 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-4400618750000 = -1 · 24 · 58 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4348,-149547] |
[a1,a2,a3,a4,a6] |
j |
-568162198831104/275038671875 |
j-invariant |
L |
0.28733035811597 |
L(r)(E,1)/r! |
Ω |
0.28733035811597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20240r1 80960ba1 45540ba1 25300c1 |
Quadratic twists by: -4 8 -3 5 |