Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440n |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17762022502400 = 212 · 52 · 113 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9505,-296625] |
[a1,a2,a3,a4,a6] |
Generators |
[115:380:1] |
Generators of the group modulo torsion |
j |
23188134892096/4336431275 |
j-invariant |
L |
3.5493592400987 |
L(r)(E,1)/r! |
Ω |
0.4897660356765 |
Real period |
R |
0.90588132433376 |
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 |
33440p2 66880cl1 |
Quadratic twists by: -4 8 |