Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112bb |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-81312247096344576 = -1 · 216 · 32 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,13720916] |
[a1,a2,a3,a4,a6] |
Generators |
[164:4074:1] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
5.2802340028047 |
L(r)(E,1)/r! |
Ω |
0.27650242380983 |
Real period |
R |
4.7741299425609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1014d1 32448cd1 24336bn1 8112bc1 |
Quadratic twists by: -4 8 -3 13 |