Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bf |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5540400000000 = 210 · 36 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9008,305988] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:750:1] |
Generators of the group modulo torsion |
j |
5052857764/346275 |
j-invariant |
L |
6.5096897282822 |
L(r)(E,1)/r! |
Ω |
0.74686428774809 |
Real period |
R |
0.72633563141593 |
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 |
11400x2 91200fh2 68400cc2 4560e2 |
Quadratic twists by: -4 8 -3 5 |