Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560bo |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
32149440 = 26 · 33 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,990] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4026:1] |
Generators of the group modulo torsion |
j |
13893235264/502335 |
j-invariant |
L |
8.5231019693006 |
L(r)(E,1)/r! |
Ω |
2.06466905448 |
Real period |
R |
2.7520478244159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560n1 29280r2 |
Quadratic twists by: -4 8 |