Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368bj |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
10884331584 = 26 · 38 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1461,-20900] |
[a1,a2,a3,a4,a6] |
Generators |
[56:270:1] |
Generators of the group modulo torsion |
j |
7392083392/233289 |
j-invariant |
L |
5.0403719434061 |
L(r)(E,1)/r! |
Ω |
0.77370660175765 |
Real period |
R |
3.2572889593834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46368z1 92736bd2 15456d1 |
Quadratic twists by: -4 8 -3 |