Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176y |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-24240648093696 = -1 · 219 · 313 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,236882] |
[a1,a2,a3,a4,a6] |
Generators |
[7:486:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
3.7548374764312 |
L(r)(E,1)/r! |
Ω |
0.53687915804385 |
Real period |
R |
0.87422779879186 |
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 |
522d1 16704db1 1392k1 104400dr1 |
Quadratic twists by: -4 8 -3 5 |