Atkin-Lehner |
7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8281m |
Isogeny class |
Conductor |
8281 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-3637343284939 = -1 · 73 · 139 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- 2 13- 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5126,-170166] |
[a1,a2,a3,a4,a6] |
Generators |
[394:7689:1] |
Generators of the group modulo torsion |
j |
-4096 |
j-invariant |
L |
1.4034520017844 |
L(r)(E,1)/r! |
Ω |
0.27852189820122 |
Real period |
R |
1.2597321887868 |
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 |
74529bn1 8281l1 8281k1 |
Quadratic twists by: -3 -7 13 |