Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560y |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5143910400000 = 214 · 33 · 55 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1800081,-930179025] |
[a1,a2,a3,a4,a6] |
Generators |
[3129:155184:1] [11181:1173396:1] |
Generators of the group modulo torsion |
j |
39371336521124431696/313959375 |
j-invariant |
L |
10.928303696841 |
L(r)(E,1)/r! |
Ω |
0.13033964170118 |
Real period |
R |
27.948273076413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cb2 3660d2 |
Quadratic twists by: -4 8 |