Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720x |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
264270050000 = 24 · 55 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1808,16243] |
[a1,a2,a3,a4,a6] |
j |
40850653446144/16516878125 |
j-invariant |
L |
1.7805558074178 |
L(r)(E,1)/r! |
Ω |
0.89027790370888 |
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 |
4180a1 66880ct1 83600bz1 |
Quadratic twists by: -4 8 5 |