Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792z |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-60599304192 = -1 · 226 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,863,6433] |
[a1,a2,a3,a4,a6] |
Generators |
[109620:1149421:8000] |
Generators of the group modulo torsion |
j |
270840023/231168 |
j-invariant |
L |
6.9799273246399 |
L(r)(E,1)/r! |
Ω |
0.71978922157886 |
Real period |
R |
9.6971823352877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792cq1 1806f1 |
Quadratic twists by: -4 8 |