Atkin-Lehner |
3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
2739c |
Isogeny class |
Conductor |
2739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
8217 = 32 · 11 · 83 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-171,-936] |
[a1,a2,a3,a4,a6] |
j |
558051585337/8217 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
43824bk1 8217j1 68475c1 30129d1 |
Quadratic twists by: -4 -3 5 -11 |