Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136j |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.2582217104968E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102281619,394473389042] |
[a1,a2,a3,a4,a6] |
Generators |
[5141:67228:1] |
Generators of the group modulo torsion |
j |
79260902459030376659234/842751810121431609 |
j-invariant |
L |
6.1111900734346 |
L(r)(E,1)/r! |
Ω |
0.086519219934587 |
Real period |
R |
1.4715396181274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8568c4 68544em3 5712g4 119952bk3 |
Quadratic twists by: -4 8 -3 -7 |