Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184ct |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.8603913483056E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8707424,-9788348364] |
[a1,a2,a3,a4,a6] |
Generators |
[-798328:210231:512] |
Generators of the group modulo torsion |
j |
17825137625614555960417/216318148151991039 |
j-invariant |
L |
8.1982458448107 |
L(r)(E,1)/r! |
Ω |
0.087952018219357 |
Real period |
R |
7.7677256938713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029039 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699d3 |
Quadratic twists by: -4 |