Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368bs |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-10536048 = -1 · 24 · 33 · 293 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -5 1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10,159] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-87:1] [3:15:1] |
Generators of the group modulo torsion |
j |
256/27 |
j-invariant |
L |
8.1266133581995 |
L(r)(E,1)/r! |
Ω |
1.7508245059139 |
Real period |
R |
0.77359869885584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10092f1 121104da1 40368bd1 |
Quadratic twists by: -4 -3 29 |