Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816j |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28915580928 = 214 · 3 · 132 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768,768] |
[a1,a2,a3,a4,a6] |
j |
12246522625/7059468 |
j-invariant |
L |
2.0090908486776 |
L(r)(E,1)/r! |
Ω |
1.0045454243495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602e2 110448bk2 |
Quadratic twists by: -4 -3 |