Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128br |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-324115702776594432 = -1 · 221 · 34 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,162943,10511487] |
[a1,a2,a3,a4,a6] |
Generators |
[80570:2448663:125] |
Generators of the group modulo torsion |
j |
1825106655603743/1236403285128 |
j-invariant |
L |
9.620651311926 |
L(r)(E,1)/r! |
Ω |
0.19205042505705 |
Real period |
R |
6.2618003247496 |
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 |
40128m3 10032l4 120384dk3 |
Quadratic twists by: -4 8 -3 |