Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4437d |
Isogeny class |
Conductor |
4437 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-31267539 = -1 · 37 · 17 · 292 |
Discriminant |
Eigenvalues |
0 3- 3 2 3 7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-156,-797] |
[a1,a2,a3,a4,a6] |
j |
-575930368/42891 |
j-invariant |
L |
2.6902541960407 |
L(r)(E,1)/r! |
Ω |
0.67256354901018 |
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 |
70992v1 1479c1 110925w1 75429q1 |
Quadratic twists by: -4 -3 5 17 |