Atkin-Lehner |
3- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12831d |
Isogeny class |
Conductor |
12831 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-4641000036663627 = -1 · 33 · 73 · 136 · 473 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38823,4392983] |
[a1,a2,a3,a4,a6] |
j |
-6471458558046208000/4641000036663627 |
j-invariant |
L |
2.4006056058475 |
L(r)(E,1)/r! |
Ω |
0.40010093430791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38493h2 89817b2 |
Quadratic twists by: -3 -7 |