Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440q |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
254144000000 = 212 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21345,1192975] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-95:1] [-157:836:1] |
Generators of the group modulo torsion |
j |
262586616878656/62046875 |
j-invariant |
L |
5.9405968846299 |
L(r)(E,1)/r! |
Ω |
0.95917631856428 |
Real period |
R |
0.51611964432861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440l2 66880cb1 |
Quadratic twists by: -4 8 |