Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1607445000000 = -1 · 26 · 38 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,61000] |
[a1,a2,a3,a4,a6] |
Generators |
[44:378:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
6.1778903536647 |
L(r)(E,1)/r! |
Ω |
0.67378369922323 |
Real period |
R |
2.2922379806751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nj1 50400x2 33600gd1 20160ec1 |
Quadratic twists by: -4 8 -3 5 |