Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600gf |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
723168000 = 28 · 36 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7455,-247750] |
[a1,a2,a3,a4,a6] |
Generators |
[130:990:1] [1282:13079:8] |
Generators of the group modulo torsion |
j |
1964215568/31 |
j-invariant |
L |
10.978952753215 |
L(r)(E,1)/r! |
Ω |
0.51379284728653 |
Real period |
R |
21.368442188929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27900r2 12400z2 111600gd2 |
Quadratic twists by: -4 -3 5 |