Atkin-Lehner |
3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4437j |
Isogeny class |
Conductor |
4437 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-429069343023 = -1 · 311 · 174 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,454,-31408] |
[a1,a2,a3,a4,a6] |
j |
14225260967/588572487 |
j-invariant |
L |
0.45239646027636 |
L(r)(E,1)/r! |
Ω |
0.45239646027636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70992bj1 1479d1 110925t1 75429g1 |
Quadratic twists by: -4 -3 5 17 |