Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600bq |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-52531200 = -1 · 212 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,543] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] |
Generators of the group modulo torsion |
j |
-1572160/513 |
j-invariant |
L |
8.3143658252959 |
L(r)(E,1)/r! |
Ω |
1.8856681326756 |
Real period |
R |
0.36743677573402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45600ba1 91200fq1 45600i1 |
Quadratic twists by: -4 8 5 |