Atkin-Lehner |
3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055h |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1587962475 = 36 · 52 · 11 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13217,588134] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-29:1] |
Generators of the group modulo torsion |
j |
350238632340169/2178275 |
j-invariant |
L |
3.5248397467958 |
L(r)(E,1)/r! |
Ω |
1.3390586206782 |
Real period |
R |
1.3161633450429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895c2 |
Quadratic twists by: -3 |