Atkin-Lehner |
2- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5330f |
Isogeny class |
Conductor |
5330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-213200 = -1 · 24 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -3 5- 0 2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3,21] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
4019679/213200 |
j-invariant |
L |
3.833003155102 |
L(r)(E,1)/r! |
Ω |
2.4012367662873 |
Real period |
R |
0.19953275791648 |
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 |
42640o1 47970g1 26650d1 69290e1 |
Quadratic twists by: -4 -3 5 13 |