Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109bc |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
2017707491201337 = 38 · 139 · 29 |
Discriminant |
Eigenvalues |
-1 3- -4 2 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114107,-14649150] |
[a1,a2,a3,a4,a6] |
j |
21253933/261 |
j-invariant |
L |
1.039810691419 |
L(r)(E,1)/r! |
Ω |
0.25995267287568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14703b1 44109ba1 |
Quadratic twists by: -3 13 |