Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bm |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
63493373952 = 223 · 32 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 3 2 -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1440,-17676] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-768:1] |
Generators of the group modulo torsion |
j |
95930521/18432 |
j-invariant |
L |
5.475639792378 |
L(r)(E,1)/r! |
Ω |
0.78531275086374 |
Real period |
R |
0.8715699233122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046j1 121104ck1 40368be1 |
Quadratic twists by: -4 -3 29 |