Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800cl |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
33319382400000000 = 213 · 39 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141075,18407250] |
[a1,a2,a3,a4,a6] |
Generators |
[-351:4968:1] [-305:5750:1] |
Generators of the group modulo torsion |
j |
246491883/26450 |
j-invariant |
L |
9.6943672410539 |
L(r)(E,1)/r! |
Ω |
0.35743835559244 |
Real period |
R |
1.6951117391175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350d2 82800cs2 16560bb2 |
Quadratic twists by: -4 -3 5 |