Atkin-Lehner |
3+ 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16359a |
Isogeny class |
Conductor |
16359 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56992 |
Modular degree for the optimal curve |
Δ |
-1156281161427 = -1 · 313 · 72 · 192 · 41 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ -3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25712,1596353] |
[a1,a2,a3,a4,a6] |
j |
-1879958147933605888/1156281161427 |
j-invariant |
L |
3.4326167506266 |
L(r)(E,1)/r! |
Ω |
0.85815418765666 |
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 |
49077a1 114513n1 |
Quadratic twists by: -3 -7 |