Atkin-Lehner |
3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
2739c |
Isogeny class |
Conductor |
2739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
67519089 = 34 · 112 · 832 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-176,-885] |
[a1,a2,a3,a4,a6] |
j |
608291319817/67519089 |
j-invariant |
L |
0.6596153037922 |
L(r)(E,1)/r! |
Ω |
1.3192306075844 |
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 |
43824bk2 8217j2 68475c2 30129d2 |
Quadratic twists by: -4 -3 5 -11 |