Atkin-Lehner |
2+ 3- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73776f |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-10623744 = -1 · 28 · 33 · 29 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 4 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-165] |
[a1,a2,a3,a4,a6] |
Generators |
[30:165:1] |
Generators of the group modulo torsion |
j |
-2249728/41499 |
j-invariant |
L |
10.389388442864 |
L(r)(E,1)/r! |
Ω |
0.98186220024664 |
Real period |
R |
3.5271033754508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36888e1 |
Quadratic twists by: -4 |