Atkin-Lehner |
2+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030a |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
40556700285200 = 24 · 52 · 119 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31584,-2141218] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:111:1] |
Generators of the group modulo torsion |
j |
1477648619/17200 |
j-invariant |
L |
2.5594166570586 |
L(r)(E,1)/r! |
Ω |
0.35837688754697 |
Real period |
R |
3.5708450321698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52030r1 |
Quadratic twists by: -11 |