Atkin-Lehner |
2- 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768n |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-10163506135810048 = -1 · 214 · 73 · 232 · 434 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ -4 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40760,-3659916] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1472:1] |
Generators of the group modulo torsion |
j |
1828334419523639/2481324740188 |
j-invariant |
L |
1.9841105074243 |
L(r)(E,1)/r! |
Ω |
0.21676542946648 |
Real period |
R |
2.2883151901278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846d1 |
Quadratic twists by: -4 |