Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792dc |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
118358016 = 217 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,-14817] |
[a1,a2,a3,a4,a6] |
Generators |
[39:48:1] |
Generators of the group modulo torsion |
j |
1189646642/903 |
j-invariant |
L |
7.1472297172262 |
L(r)(E,1)/r! |
Ω |
0.82506024255845 |
Real period |
R |
2.1656690470792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792d1 14448b1 |
Quadratic twists by: -4 8 |