Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4437c |
Isogeny class |
Conductor |
4437 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-6792501420654219 = -1 · 39 · 177 · 292 |
Discriminant |
Eigenvalues |
0 3- -1 -2 -1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55578,-6415358] |
[a1,a2,a3,a4,a6] |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
0.61090840052184 |
L(r)(E,1)/r! |
Ω |
0.15272710013046 |
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 |
70992p1 1479b1 110925v1 75429o1 |
Quadratic twists by: -4 -3 5 17 |