Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200fe |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6181733376000000 = 216 · 36 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54608,-3151212] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1248:1] |
Generators of the group modulo torsion |
j |
281397674377/96589584 |
j-invariant |
L |
9.1616579441049 |
L(r)(E,1)/r! |
Ω |
0.32103288378978 |
Real period |
R |
1.1890861252087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953073 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650bw2 4368t2 |
Quadratic twists by: -4 5 |