Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016q |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-284146714804224 = -1 · 228 · 3 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -5 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11176,-926096] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2438:1] |
Generators of the group modulo torsion |
j |
-37693095294889/69371756544 |
j-invariant |
L |
3.7527750595807 |
L(r)(E,1)/r! |
Ω |
0.21881964877968 |
Real period |
R |
2.8583471064789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002d1 128064dq1 96048ba1 |
Quadratic twists by: -4 8 -3 |