Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280r |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13327752960 = -1 · 28 · 39 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,-3294] |
[a1,a2,a3,a4,a6] |
j |
2963088/2645 |
j-invariant |
L |
2.7651167984851 |
L(r)(E,1)/r! |
Ω |
0.69127919962127 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560e2 66240j2 8280a2 41400b2 |
Quadratic twists by: -4 8 -3 5 |