Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176r |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-9132912 = -1 · 24 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 3 5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,135] |
[a1,a2,a3,a4,a6] |
j |
6912/29 |
j-invariant |
L |
3.3001492509609 |
L(r)(E,1)/r! |
Ω |
1.6500746254804 |
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 |
1044b1 16704cc1 4176w1 104400cq1 |
Quadratic twists by: -4 8 -3 5 |