Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264f |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-483295232 = -1 · 215 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ -1 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257,-1823] |
[a1,a2,a3,a4,a6] |
Generators |
[21:40:1] |
Generators of the group modulo torsion |
j |
-57512456/14749 |
j-invariant |
L |
4.357261509908 |
L(r)(E,1)/r! |
Ω |
0.58808690765426 |
Real period |
R |
1.8523033981865 |
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 |
19264n1 9632b1 |
Quadratic twists by: -4 8 |