Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bi |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-499580928 = -1 · 216 · 32 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-1089] |
[a1,a2,a3,a4,a6] |
j |
-62500/7623 |
j-invariant |
L |
2.9361579365766 |
L(r)(E,1)/r! |
Ω |
0.73403948414414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784bo1 1848h1 44352bu1 103488bl1 |
Quadratic twists by: -4 8 -3 -7 |