Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5096a |
Isogeny class |
Conductor |
5096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
2634375701776 = 24 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ -1 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,-21139] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:169:1] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
3.6927832880683 |
L(r)(E,1)/r! |
Ω |
0.65803088954301 |
Real period |
R |
1.4029673024289 |
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 |
10192a1 40768h1 45864bj1 127400bb1 |
Quadratic twists by: -4 8 -3 5 |