Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450cz |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
9338880 |
Modular degree for the optimal curve |
Δ |
7454323321380000000 = 28 · 310 · 57 · 135 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147926255,-692456991753] |
[a1,a2,a3,a4,a6] |
j |
31427652507069423952801/654426190080 |
j-invariant |
L |
3.4632048934913 |
L(r)(E,1)/r! |
Ω |
0.043290065191242 |
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 |
33150h1 19890d1 |
Quadratic twists by: -3 5 |