Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860bc |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
58664026764000000 = 28 · 38 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170340,-24478812] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:-1350:1] |
Generators of the group modulo torsion |
j |
18148802937424/1947796875 |
j-invariant |
L |
9.016398961225 |
L(r)(E,1)/r! |
Ω |
0.23663495333707 |
Real period |
R |
0.52920230753585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1140a2 |
Quadratic twists by: -7 |