Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dl |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
442236174336 = 215 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6924,219440] |
[a1,a2,a3,a4,a6] |
Generators |
[85:495:1] |
Generators of the group modulo torsion |
j |
1536800264/18513 |
j-invariant |
L |
7.6847673448338 |
L(r)(E,1)/r! |
Ω |
0.94342031045105 |
Real period |
R |
2.0364113548563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ej2 53856o2 35904ce2 |
Quadratic twists by: -4 8 -3 |