Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bv |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
261755793436741632 = 212 · 35 · 712 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165048,-7701840] |
[a1,a2,a3,a4,a6] |
Generators |
[6788:558208:1] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
5.5469951594018 |
L(r)(E,1)/r! |
Ω |
0.25122321337713 |
Real period |
R |
5.5199866732409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793j1 6384be1 |
Quadratic twists by: -4 -7 |