Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760by |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-39007027200000 = -1 · 227 · 3 · 55 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13025,650625] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2560:1] |
Generators of the group modulo torsion |
j |
-932288503609/148800000 |
j-invariant |
L |
5.8802136413355 |
L(r)(E,1)/r! |
Ω |
0.62405601572212 |
Real period |
R |
0.47112867220191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29760bk1 7440t1 89280eh1 |
Quadratic twists by: -4 8 -3 |