Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cn |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
34123161600 = 213 · 34 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2736,53460] |
[a1,a2,a3,a4,a6] |
Generators |
[42:120:1] [-33:330:1] |
Generators of the group modulo torsion |
j |
553185473329/8330850 |
j-invariant |
L |
9.3653313742309 |
L(r)(E,1)/r! |
Ω |
1.1663802518356 |
Real period |
R |
0.50183738104989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610y2 |
Quadratic twists by: -4 |