Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488w |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1859321601701609472 = -1 · 215 · 318 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,267621,-38267318] |
[a1,a2,a3,a4,a6] |
Generators |
[160136010:-4066696837:729000] |
Generators of the group modulo torsion |
j |
709899390552743/622683042408 |
j-invariant |
L |
7.8313482818491 |
L(r)(E,1)/r! |
Ω |
0.14509140608214 |
Real period |
R |
13.493818299255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7686s4 20496u4 |
Quadratic twists by: -4 -3 |