Atkin-Lehner |
2+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39886a |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
307585996932504598 = 2 · 78 · 117 · 372 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 11+ -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-458470,116429338] |
[a1,a2,a3,a4,a6] |
j |
1848718549801753/53355874198 |
j-invariant |
L |
1.8308017089477 |
L(r)(E,1)/r! |
Ω |
0.30513361816697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39886f1 |
Quadratic twists by: -7 |