Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792bo |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
10922688 = 26 · 34 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2812,-58342] |
[a1,a2,a3,a4,a6] |
Generators |
[18654:127855:216] |
Generators of the group modulo torsion |
j |
38436525404992/170667 |
j-invariant |
L |
9.6704941773584 |
L(r)(E,1)/r! |
Ω |
0.65559098319852 |
Real period |
R |
7.3754020610505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792j1 28896f4 |
Quadratic twists by: -4 8 |