Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440ba |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
20 |
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 |
[-27:465:1] [8:360:1] |
Generators of the group modulo torsion |
j |
-767568868416/2041015625 |
j-invariant |
L |
7.9503719094052 |
L(r)(E,1)/r! |
Ω |
0.64947649082092 |
Real period |
R |
2.448240089293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440m2 66880d1 |
Quadratic twists by: -4 8 |