Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8460b |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
381715200 = 28 · 33 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-447,-3514] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:10:1] |
Generators of the group modulo torsion |
j |
1429033968/55225 |
j-invariant |
L |
4.5718195879501 |
L(r)(E,1)/r! |
Ω |
1.0407711687841 |
Real period |
R |
0.73212052195416 |
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 |
33840bf2 8460a2 42300c2 |
Quadratic twists by: -4 -3 5 |