Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1596c |
Isogeny class |
Conductor |
1596 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-5898550563066672 = -1 · 24 · 311 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43843,-1066632] |
[a1,a2,a3,a4,a6] |
j |
582498235727347712/368659410191667 |
j-invariant |
L |
2.6911817644128 |
L(r)(E,1)/r! |
Ω |
0.24465288767389 |
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 |
6384v1 25536e1 4788d1 39900j1 |
Quadratic twists by: -4 8 -3 5 |