Atkin-Lehner |
2- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5828f |
Isogeny class |
Conductor |
5828 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-372992 = -1 · 28 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 1 4 4 0 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,-28] |
[a1,a2,a3,a4,a6] |
j |
21296/1457 |
j-invariant |
L |
4.3119021791311 |
L(r)(E,1)/r! |
Ω |
1.437300726377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23312g1 93248s1 52452h1 |
Quadratic twists by: -4 8 -3 |