Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176n |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-6459535132272 = -1 · 24 · 39 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -5 -3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3105,139239] |
[a1,a2,a3,a4,a6] |
j |
-10512288000/20511149 |
j-invariant |
L |
1.3397687408729 |
L(r)(E,1)/r! |
Ω |
0.66988437043645 |
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 |
1044a1 16704bv1 4176s1 104400cr1 |
Quadratic twists by: -4 8 -3 5 |