Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784w |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-19677504 = -1 · 26 · 3 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,210] |
[a1,a2,a3,a4,a6] |
j |
-3241792/307461 |
j-invariant |
L |
3.563016273618 |
L(r)(E,1)/r! |
Ω |
1.781508136809 |
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 |
14784t1 7392j4 44352bo1 103488bc1 |
Quadratic twists by: -4 8 -3 -7 |