Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ev |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
311647500000000 = 28 · 38 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17175,-170750] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1350:1] |
Generators of the group modulo torsion |
j |
192143824/106875 |
j-invariant |
L |
3.9023193838856 |
L(r)(E,1)/r! |
Ω |
0.44726967523437 |
Real period |
R |
2.1811893363855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17100ba2 22800dd2 13680bp2 |
Quadratic twists by: -4 -3 5 |