Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422y |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-683546434574976 = -1 · 27 · 39 · 74 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32470,2576804] |
[a1,a2,a3,a4,a6] |
Generators |
[320:4838:1] |
Generators of the group modulo torsion |
j |
-3785919836794512481/683546434574976 |
j-invariant |
L |
9.2900914302862 |
L(r)(E,1)/r! |
Ω |
0.48994431676921 |
Real period |
R |
0.050162764654254 |
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 |
49266l1 114954bo1 |
Quadratic twists by: -3 -7 |