Atkin-Lehner |
2+ 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872b |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-28082096 = -1 · 24 · 74 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ -2 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-575,-5126] |
[a1,a2,a3,a4,a6] |
Generators |
[6270:9163:216] |
Generators of the group modulo torsion |
j |
-1316322605056/1755131 |
j-invariant |
L |
5.2520505380043 |
L(r)(E,1)/r! |
Ω |
0.48736569877883 |
Real period |
R |
5.388202896869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40936f1 |
Quadratic twists by: -4 |