Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bp |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
231856991155519488 = 218 · 33 · 117 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1237893,529508673] |
[a1,a2,a3,a4,a6] |
Generators |
[594:1671:1] |
Generators of the group modulo torsion |
j |
118417788018699625/130877227008 |
j-invariant |
L |
10.85952543227 |
L(r)(E,1)/r! |
Ω |
0.31243692857811 |
Real period |
R |
0.64365734145136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298n1 2706d1 |
Quadratic twists by: -3 -11 |