Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bc |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-9206784000000000000 = -1 · 222 · 35 · 512 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-458408,188787312] |
[a1,a2,a3,a4,a6] |
Generators |
[-50492:490625:64] |
Generators of the group modulo torsion |
j |
-166456688365729/143856000000 |
j-invariant |
L |
4.9650628903776 |
L(r)(E,1)/r! |
Ω |
0.21119217732393 |
Real period |
R |
5.8774228208775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550o1 8880t1 |
Quadratic twists by: -4 5 |