Atkin-Lehner |
3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
2739d |
Isogeny class |
Conductor |
2739 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
109838553561 = 32 · 116 · 832 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36824,2704515] |
[a1,a2,a3,a4,a6] |
j |
5522491110307729033/109838553561 |
j-invariant |
L |
1.4590194419168 |
L(r)(E,1)/r! |
Ω |
0.97267962794454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43824bb2 8217g2 68475j2 30129h2 |
Quadratic twists by: -4 -3 5 -11 |