Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ck |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1653774583799808000 = -1 · 216 · 310 · 53 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103692,-63192976] |
[a1,a2,a3,a4,a6] |
Generators |
[740:16288:1] |
Generators of the group modulo torsion |
j |
-2580786074884/34615360125 |
j-invariant |
L |
8.520011825654 |
L(r)(E,1)/r! |
Ω |
0.11381318683999 |
Real period |
R |
6.2383015546256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840gf3 15480d4 41280a3 |
Quadratic twists by: -4 8 -3 |