Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4150j |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-557003571200 = -1 · 228 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -5 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,705,-35353] |
[a1,a2,a3,a4,a6] |
Generators |
[83:726:1] |
Generators of the group modulo torsion |
j |
1552131260055/22280142848 |
j-invariant |
L |
5.3457222711524 |
L(r)(E,1)/r! |
Ω |
0.45124790936566 |
Real period |
R |
0.42309038685529 |
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 |
33200r1 37350j1 4150f1 |
Quadratic twists by: -4 -3 5 |