Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15048j |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
39004416 = 28 · 36 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639,6210] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:90:1] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
4.965223893191 |
L(r)(E,1)/r! |
Ω |
2.0423750675947 |
Real period |
R |
1.2155514361617 |
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 |
30096c1 120384u1 1672c1 |
Quadratic twists by: -4 8 -3 |