Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320a |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1507593586176000 = 212 · 35 · 53 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166641,-26060895] |
[a1,a2,a3,a4,a6] |
Generators |
[-551715275887852:-49000386515179:2252212155712] |
Generators of the group modulo torsion |
j |
124943008663561024/368064840375 |
j-invariant |
L |
4.6452124260523 |
L(r)(E,1)/r! |
Ω |
0.23633648800164 |
Real period |
R |
19.655079354568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28320k4 56640da1 84960bn4 |
Quadratic twists by: -4 8 -3 |