Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382p |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
23850830451492 = 22 · 311 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104022,-12885152] |
[a1,a2,a3,a4,a6] |
Generators |
[-4974:3064:27] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
3.027368508604 |
L(r)(E,1)/r! |
Ω |
0.26584166750301 |
Real period |
R |
5.6939315364647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794y1 342b1 |
Quadratic twists by: -3 -11 |