Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44096j |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
180617216 = 218 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 2 2 2 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-897,10625] |
[a1,a2,a3,a4,a6] |
Generators |
[1720:3303:125] |
Generators of the group modulo torsion |
j |
304821217/689 |
j-invariant |
L |
10.404929497516 |
L(r)(E,1)/r! |
Ω |
1.8047918874566 |
Real period |
R |
5.7651685880395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44096s1 689a1 |
Quadratic twists by: -4 8 |