Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bu |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
109273802654268 = 22 · 38 · 7 · 296 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10172894,-12486088879] |
[a1,a2,a3,a4,a6] |
Generators |
[-282420553321695:141612916808989:153388121977] |
Generators of the group modulo torsion |
j |
268498407453697/252 |
j-invariant |
L |
12.717669000808 |
L(r)(E,1)/r! |
Ω |
0.084535364234693 |
Real period |
R |
18.805249596572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35322p4 126b3 |
Quadratic twists by: -3 29 |