Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122f |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2517768 = -1 · 23 · 32 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[5:14:1] |
Generators of the group modulo torsion |
j |
3288008303/2517768 |
j-invariant |
L |
2.8906692607279 |
L(r)(E,1)/r! |
Ω |
1.4348484861232 |
Real period |
R |
0.33576939640716 |
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 |
8976z2 35904z2 3366f2 28050bj2 |
Quadratic twists by: -4 8 -3 5 |