Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016bo |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
502218620928 = 220 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99777,12164193] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:4224:1] |
Generators of the group modulo torsion |
j |
419063145367537/1915812 |
j-invariant |
L |
5.3467243743419 |
L(r)(E,1)/r! |
Ω |
0.82099341048652 |
Real period |
R |
3.2562529163136 |
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 |
14016bc3 3504x3 42048ck4 |
Quadratic twists by: -4 8 -3 |