Atkin-Lehner |
2+ 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41064d |
Isogeny class |
Conductor |
41064 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-602251966900224 = -1 · 211 · 35 · 295 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 4 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17944,-727632] |
[a1,a2,a3,a4,a6] |
Generators |
[43:354:1] |
Generators of the group modulo torsion |
j |
311980420110382/294068343213 |
j-invariant |
L |
5.8445020549623 |
L(r)(E,1)/r! |
Ω |
0.28160729405101 |
Real period |
R |
4.150817239773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128a1 123192k1 |
Quadratic twists by: -4 -3 |