Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bk |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-6101074218750000 = -1 · 24 · 3 · 516 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129375,18344352] |
[a1,a2,a3,a4,a6] |
j |
-14967807005098080256/381317138671875 |
j-invariant |
L |
1.6955991332071 |
L(r)(E,1)/r! |
Ω |
0.42389978330178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560ca1 114240dh1 42840m1 71400bt1 |
Quadratic twists by: -4 8 -3 5 |