Atkin-Lehner |
2+ 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824g |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
18856240128 = 210 · 35 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1112,-12288] |
[a1,a2,a3,a4,a6] |
Generators |
[76:580:1] |
Generators of the group modulo torsion |
j |
148637575012/18414297 |
j-invariant |
L |
5.8482187184161 |
L(r)(E,1)/r! |
Ω |
0.83340666896871 |
Real period |
R |
3.5086224625794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21912d1 |
Quadratic twists by: -4 |