Atkin-Lehner |
3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4329a |
Isogeny class |
Conductor |
4329 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
59259681 = 36 · 133 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 2 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15239,-720242] |
[a1,a2,a3,a4,a6] |
j |
536832589893417/81289 |
j-invariant |
L |
1.7187893703854 |
L(r)(E,1)/r! |
Ω |
0.42969734259635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69264q1 481a1 108225ba1 56277l1 |
Quadratic twists by: -4 -3 5 13 |