Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245k |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-4642881546333375 = -1 · 37 · 53 · 198 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4806,-3277017] |
[a1,a2,a3,a4,a6] |
j |
357911/135375 |
j-invariant |
L |
2.444560313028 |
L(r)(E,1)/r! |
Ω |
0.203713359419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5415h1 81225bf1 855b1 |
Quadratic twists by: -3 5 -19 |