Atkin-Lehner |
5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4235d |
Isogeny class |
Conductor |
4235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
82528169185 = 5 · 7 · 119 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1414,-14745] |
[a1,a2,a3,a4,a6] |
j |
132651/35 |
j-invariant |
L |
1.5876111805943 |
L(r)(E,1)/r! |
Ω |
0.79380559029715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760cf1 38115i1 21175l1 29645a1 |
Quadratic twists by: -4 -3 5 -7 |