Atkin-Lehner |
2- 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422t |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-74030376 = -1 · 23 · 3 · 73 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60,-456] |
[a1,a2,a3,a4,a6] |
j |
-23912763841/74030376 |
j-invariant |
L |
4.750068096641 |
L(r)(E,1)/r! |
Ω |
0.79167801610683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266p1 114954bw1 |
Quadratic twists by: -3 -7 |