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 |
1.3488654304148E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102019179,396616526570] |
[a1,a2,a3,a4,a6] |
Generators |
[-1667:749700:1] |
Generators of the group modulo torsion |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
6.1111900734346 |
L(r)(E,1)/r! |
Ω |
0.17303843986917 |
Real period |
R |
2.9430792362548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8568c2 68544em2 5712g2 119952bk2 |
Quadratic twists by: -4 8 -3 -7 |