Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225z |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7129025655947E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-813942,-130519409] |
[a1,a2,a3,a4,a6] |
Generators |
[-2336732104:-67613644573:6229504] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
7.8624928353941 |
L(r)(E,1)/r! |
Ω |
0.16592912806234 |
Real period |
R |
11.846161264511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966547 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27075g3 16245d3 225c4 |
Quadratic twists by: -3 5 -19 |