Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bv |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
246667599360000 = 212 · 32 · 54 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57098881,-166088393425] |
[a1,a2,a3,a4,a6] |
Generators |
[53558499066349319319123558838742356293:11036145320362124175300743344420551866300:1221474541494487001379436196550189] |
Generators of the group modulo torsion |
j |
5026278670516962232657984/60221581875 |
j-invariant |
L |
6.510507325194 |
L(r)(E,1)/r! |
Ω |
0.054921533473312 |
Real period |
R |
59.270990024041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bg2 87360fh1 |
Quadratic twists by: -4 8 |