Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5824d |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1490944 = -1 · 214 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 4 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,77] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
-65536/91 |
j-invariant |
L |
5.1062738427128 |
L(r)(E,1)/r! |
Ω |
2.4197579096077 |
Real period |
R |
2.1102416165015 |
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 |
5824bc1 364b1 52416bl1 40768bu1 |
Quadratic twists by: -4 8 -3 -7 |