Atkin-Lehner |
2+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480q |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
14240000000000 = 214 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6065,7663] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:320:1] [-54:425:1] |
Generators of the group modulo torsion |
j |
1506148498384/869140625 |
j-invariant |
L |
5.9322358596211 |
L(r)(E,1)/r! |
Ω |
0.59853226017687 |
Real period |
R |
0.99113051280942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480bm2 3560c2 |
Quadratic twists by: -4 8 |