Atkin-Lehner |
2+ 3+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422c |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-95773104 = -1 · 24 · 37 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -2 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-161,-987] |
[a1,a2,a3,a4,a6] |
Generators |
[22:71:1] |
Generators of the group modulo torsion |
j |
-466025146777/95773104 |
j-invariant |
L |
3.5868961159273 |
L(r)(E,1)/r! |
Ω |
0.66228200432251 |
Real period |
R |
2.7079824700934 |
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 |
49266bl1 114954x1 |
Quadratic twists by: -3 -7 |