Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bp |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
16662594060288 = 228 · 33 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82081,-9021887] |
[a1,a2,a3,a4,a6] |
j |
233301213501481/63562752 |
j-invariant |
L |
2.2565010589171 |
L(r)(E,1)/r! |
Ω |
0.28206263236302 |
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 |
40128s1 10032n1 120384dd1 |
Quadratic twists by: -4 8 -3 |