Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bj |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-329994883694002176 = -1 · 216 · 39 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417531,-107459030] |
[a1,a2,a3,a4,a6] |
j |
-2695891520738233/110514618864 |
j-invariant |
L |
0.74945550083711 |
L(r)(E,1)/r! |
Ω |
0.093681937050683 |
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 |
12402j1 33072t1 |
Quadratic twists by: -4 -3 |