Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10032h |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
493092864 = 218 · 32 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-584,-5136] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
5386984777/120384 |
j-invariant |
L |
3.4169920807626 |
L(r)(E,1)/r! |
Ω |
0.9723556054229 |
Real period |
R |
1.7570691533559 |
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 |
1254e1 40128ca1 30096bl1 110352ba1 |
Quadratic twists by: -4 8 -3 -11 |