Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4048g |
Isogeny class |
Conductor |
4048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
250781696 = 213 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 2 3 -5 11+ -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
5.0237626277932 |
L(r)(E,1)/r! |
Ω |
1.3347927664003 |
Real period |
R |
1.8818511585666 |
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 |
506c1 16192bf1 36432ci1 101200ba1 |
Quadratic twists by: -4 8 -3 5 |