Atkin-Lehner |
2+ 3+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302f |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
-2541438893136 = -1 · 24 · 3 · 118 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -5 11- 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25974,1602276] |
[a1,a2,a3,a4,a6] |
Generators |
[224:-2774:1] |
Generators of the group modulo torsion |
j |
-1938056108004099433/2541438893136 |
j-invariant |
L |
1.2165452095968 |
L(r)(E,1)/r! |
Ω |
0.81066568278331 |
Real period |
R |
0.093792147878703 |
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 |
48906bk1 |
Quadratic twists by: -3 |