Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128v |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1558728179712 = -1 · 215 · 32 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9153,339327] |
[a1,a2,a3,a4,a6] |
Generators |
[21:396:1] |
Generators of the group modulo torsion |
j |
-2588282117000/47568609 |
j-invariant |
L |
8.3980237661129 |
L(r)(E,1)/r! |
Ω |
0.84720496970558 |
Real period |
R |
1.2390779189229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128c2 20064c2 120384m2 |
Quadratic twists by: -4 8 -3 |