Atkin-Lehner |
3- 5- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118755h |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-471338595 = -1 · 36 · 5 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -3 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,-1463] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/646555 |
j-invariant |
L |
1.2482097727114 |
L(r)(E,1)/r! |
Ω |
0.62410473468778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195a1 |
Quadratic twists by: -3 |