Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gm |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25825775616000 = 215 · 38 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32115,2201650] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1674:1] |
Generators of the group modulo torsion |
j |
9814089221/69192 |
j-invariant |
L |
8.5843811729722 |
L(r)(E,1)/r! |
Ω |
0.67329979460886 |
Real period |
R |
1.5937145050597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950bj2 37200dx2 111600go2 |
Quadratic twists by: -4 -3 5 |