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 |
8.7898043125269E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10967067,-13969228784] |
[a1,a2,a3,a4,a6] |
Generators |
[-5233866583070014096:-861326849855493952:2693800076180221] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
7.8624928353941 |
L(r)(E,1)/r! |
Ω |
0.082964564031169 |
Real period |
R |
23.692322529021 |
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 |
27075g6 16245d5 225c5 |
Quadratic twists by: -3 5 -19 |