Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bb |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-81497676357909504 = -1 · 210 · 35 · 75 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100631,-6105121] |
[a1,a2,a3,a4,a6] |
Generators |
[170:3993:1] |
Generators of the group modulo torsion |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
6.9039600248559 |
L(r)(E,1)/r! |
Ω |
0.19232680103689 |
Real period |
R |
1.0256292916364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784bz1 924a1 44352z1 103488cc1 |
Quadratic twists by: -4 8 -3 -7 |