Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440m |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-8360000000000 = -1 · 212 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3052,-153504] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2100:1] |
Generators of the group modulo torsion |
j |
-767568868416/2041015625 |
j-invariant |
L |
6.2158491492355 |
L(r)(E,1)/r! |
Ω |
0.29838914626115 |
Real period |
R |
2.0831351364889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440ba2 66880n1 |
Quadratic twists by: -4 8 |