Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109p |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2604592341 = 312 · 132 · 29 |
Discriminant |
Eigenvalues |
0 3- 3 0 2 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2496,47934] |
[a1,a2,a3,a4,a6] |
j |
13958643712/21141 |
j-invariant |
L |
2.881105032919 |
L(r)(E,1)/r! |
Ω |
1.4405525164406 |
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 |
14703h1 44109q1 |
Quadratic twists by: -3 13 |