Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600cd |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
174260160000000000 = 215 · 38 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1433408,-659762688] |
[a1,a2,a3,a4,a6] |
Generators |
[-190739510:144744894:274625] |
Generators of the group modulo torsion |
j |
5089246809796729/2722815000 |
j-invariant |
L |
6.0008012497604 |
L(r)(E,1)/r! |
Ω |
0.13798155003912 |
Real period |
R |
10.872470332316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450y4 19920n3 |
Quadratic twists by: -4 5 |