Atkin-Lehner |
2+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264j |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-848232448 = -1 · 216 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ -4 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,-3775] |
[a1,a2,a3,a4,a6] |
j |
-153091012/12943 |
j-invariant |
L |
1.0319617426255 |
L(r)(E,1)/r! |
Ω |
0.51598087131276 |
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 |
19264q1 2408a1 |
Quadratic twists by: -4 8 |