Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240j |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
1364728400 = 24 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-581,-4900] |
[a1,a2,a3,a4,a6] |
j |
1357936328704/85295525 |
j-invariant |
L |
3.904444521952 |
L(r)(E,1)/r! |
Ω |
0.97611113048799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060c1 64960bu1 81200bq1 113680bo1 |
Quadratic twists by: -4 8 5 -7 |