Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176bk |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-739765872 = -1 · 24 · 313 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 3 -1 -3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-453,3935] |
[a1,a2,a3,a4,a6] |
j |
-881395456/63423 |
j-invariant |
L |
3.1461486821248 |
L(r)(E,1)/r! |
Ω |
1.5730743410624 |
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 |
1044k1 16704cx1 1392j1 104400ew1 |
Quadratic twists by: -4 8 -3 5 |