Atkin-Lehner |
3- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271i |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1.0160540226931E+27 |
Discriminant |
Eigenvalues |
0 3- 3 5 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52062906,1540416635109] |
[a1,a2,a3,a4,a6] |
Generators |
[8835863245080228945:1317829757081286599747:982255996855125] |
Generators of the group modulo torsion |
j |
-21408261467195745040826368/1393764091485775357032891 |
j-invariant |
L |
5.9649345876814 |
L(r)(E,1)/r! |
Ω |
0.040738228934532 |
Real period |
R |
21.963158722243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5757g2 |
Quadratic twists by: -3 |