Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109t |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-465624805661847 = -1 · 39 · 138 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 3 -3 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133880,-18849814] |
[a1,a2,a3,a4,a6] |
j |
-446265625/783 |
j-invariant |
L |
1.497360814573 |
L(r)(E,1)/r! |
Ω |
0.12478006785504 |
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 |
14703i1 44109r1 |
Quadratic twists by: -3 13 |