Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280k |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20384000000000000 = 217 · 512 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1744643,886941442] |
[a1,a2,a3,a4,a6] |
j |
143378317900125424089/4976562500000 |
j-invariant |
L |
0.71821065261102 |
L(r)(E,1)/r! |
Ω |
0.35910532630551 |
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 |
910a3 29120cf4 65520dl4 36400cd4 |
Quadratic twists by: -4 8 -3 5 |