Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758v |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-145643223779424 = -1 · 25 · 37 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23603,1517555] |
[a1,a2,a3,a4,a6] |
Generators |
[429:8164:1] |
Generators of the group modulo torsion |
j |
-346016041/34656 |
j-invariant |
L |
7.4024644862389 |
L(r)(E,1)/r! |
Ω |
0.56561283754188 |
Real period |
R |
0.10906259539667 |
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 |
5586l1 16758bm1 |
Quadratic twists by: -3 -7 |