Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368bb |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
284473296 = 24 · 36 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7037,-224880] |
[a1,a2,a3,a4,a6] |
Generators |
[-3312308:-75870:68921] |
Generators of the group modulo torsion |
j |
98772058112/729 |
j-invariant |
L |
3.8901443807707 |
L(r)(E,1)/r! |
Ω |
0.52125197844594 |
Real period |
R |
7.4630783989932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10092j1 121104cx1 40368bq1 |
Quadratic twists by: -4 -3 29 |