Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112bh |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-771053776896 = -1 · 212 · 3 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1296,38676] |
[a1,a2,a3,a4,a6] |
Generators |
[95:1014:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
4.0875369385998 |
L(r)(E,1)/r! |
Ω |
0.6341855818862 |
Real period |
R |
1.6113331236744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
507c1 32448ch1 24336bt1 624h1 |
Quadratic twists by: -4 8 -3 13 |