Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680ck |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-4.4683064787816E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2077440,-1197224712] |
[a1,a2,a3,a4,a6] |
Generators |
[3386:174930:1] |
Generators of the group modulo torsion |
j |
-1936597775351996897288/87271610913703125 |
j-invariant |
L |
8.383117976077 |
L(r)(E,1)/r! |
Ω |
0.06271122378894 |
Real period |
R |
2.2279685276869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680e2 87360r2 |
Quadratic twists by: -4 8 |