Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1632i |
Isogeny class |
Conductor |
1632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-970818048 = -1 · 29 · 38 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-448,3800] |
[a1,a2,a3,a4,a6] |
Generators |
[2:54:1] |
Generators of the group modulo torsion |
j |
-19465109000/1896129 |
j-invariant |
L |
3.1380977664658 |
L(r)(E,1)/r! |
Ω |
1.5280487808854 |
Real period |
R |
0.25670791778056 |
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 |
1632a2 3264c2 4896e2 40800h2 |
Quadratic twists by: -4 8 -3 5 |