Atkin-Lehner |
2- 3- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582bn |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7.4608650849679E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15392750,23211287525] |
[a1,a2,a3,a4,a6] |
Generators |
[-2952992938:-188200094839:941192] |
Generators of the group modulo torsion |
j |
553279787748044171529625/1023438283260345368 |
j-invariant |
L |
11.424973579166 |
L(r)(E,1)/r! |
Ω |
0.16013355177644 |
Real period |
R |
17.836633002855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001091 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
8398g4 |
Quadratic twists by: -3 |