Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16473c |
Isogeny class |
Conductor |
16473 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-537903094169979 = -1 · 32 · 176 · 195 |
Discriminant |
Eigenvalues |
-2 3+ -1 -3 3 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1268806,-549677532] |
[a1,a2,a3,a4,a6] |
Generators |
[19322:818549:8] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
1.2610235204047 |
L(r)(E,1)/r! |
Ω |
0.071124735201115 |
Real period |
R |
8.8648732177282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49419c2 57c2 |
Quadratic twists by: -3 17 |