Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800cs |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45705600000000 = 213 · 33 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15675,-681750] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:250:1] |
Generators of the group modulo torsion |
j |
246491883/26450 |
j-invariant |
L |
4.6976217365122 |
L(r)(E,1)/r! |
Ω |
0.42964111766422 |
Real period |
R |
1.3667283980062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350bb2 82800cl2 16560bd2 |
Quadratic twists by: -4 -3 5 |