Atkin-Lehner |
2- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264p |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-1691533312 = -1 · 214 · 74 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 1 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,1987] |
[a1,a2,a3,a4,a6] |
Generators |
[6:49:1] |
Generators of the group modulo torsion |
j |
128000/103243 |
j-invariant |
L |
2.5816323174397 |
L(r)(E,1)/r! |
Ω |
1.1666236403162 |
Real period |
R |
1.1064546560792 |
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 |
19264k1 4816a1 |
Quadratic twists by: -4 8 |