Atkin-Lehner |
5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4895a |
Isogeny class |
Conductor |
4895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
32576225 = 52 · 114 · 89 |
Discriminant |
Eigenvalues |
1 2 5+ 2 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-203,-1168] |
[a1,a2,a3,a4,a6] |
Generators |
[-1614:1067:216] |
Generators of the group modulo torsion |
j |
932288503609/32576225 |
j-invariant |
L |
6.0621326057213 |
L(r)(E,1)/r! |
Ω |
1.2667143357135 |
Real period |
R |
4.7857140594422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bd1 44055k1 24475a1 53845b1 |
Quadratic twists by: -4 -3 5 -11 |