Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476k |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1886647488430678272 = -1 · 28 · 312 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-518548,158017172] |
[a1,a2,a3,a4,a6] |
Generators |
[3371:191646:1] |
Generators of the group modulo torsion |
j |
-12479332642000/1526829993 |
j-invariant |
L |
8.166781613036 |
L(r)(E,1)/r! |
Ω |
0.25572749129252 |
Real period |
R |
2.6612904657998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428r2 2652f2 |
Quadratic twists by: -3 13 |