Atkin-Lehner |
2- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144l |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-29732864 = -1 · 212 · 7 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 1 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:16:1] |
Generators of the group modulo torsion |
j |
103823/7259 |
j-invariant |
L |
5.9366963591652 |
L(r)(E,1)/r! |
Ω |
1.5974926675805 |
Real period |
R |
0.92906473078994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999639307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259c1 |
Quadratic twists by: -4 |