Atkin-Lehner |
2+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8432f |
Isogeny class |
Conductor |
8432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
-41426416 = -1 · 24 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -3 -5 6 -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68,-201] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
2141549312/2589151 |
j-invariant |
L |
1.3860770555157 |
L(r)(E,1)/r! |
Ω |
1.0923476485798 |
Real period |
R |
0.31722434183793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4216f1 33728p1 75888h1 |
Quadratic twists by: -4 8 -3 |