Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800jg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
964467000000 = 26 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43875,-3537000] |
[a1,a2,a3,a4,a6] |
j |
474552000/49 |
j-invariant |
L |
0.65974756466745 |
L(r)(E,1)/r! |
Ω |
0.32987390611347 |
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 |
100800jv1 50400cf2 100800iz1 4032w1 |
Quadratic twists by: -4 8 -3 5 |