Atkin-Lehner |
3- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86025k |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-13065046875 = -1 · 36 · 56 · 31 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 0 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-5508] |
[a1,a2,a3,a4,a6] |
Generators |
[27:99:1] |
Generators of the group modulo torsion |
j |
-1771561/836163 |
j-invariant |
L |
4.0967382552745 |
L(r)(E,1)/r! |
Ω |
0.56607763991653 |
Real period |
R |
0.60308839338903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3441a1 |
Quadratic twists by: 5 |