Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bz |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4493609533440 = 230 · 33 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6945,200385] |
[a1,a2,a3,a4,a6] |
j |
141339344329/17141760 |
j-invariant |
L |
0.74827447215697 |
L(r)(E,1)/r! |
Ω |
0.74827447215858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760bd1 7440u1 89280eo1 |
Quadratic twists by: -4 8 -3 |