Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344bx |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
5.6860045989301E+26 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239666979,850459709986] |
[a1,a2,a3,a4,a6] |
Generators |
[-2895:1232896:1] |
Generators of the group modulo torsion |
j |
509871621645082002682657/190423143557704974336 |
j-invariant |
L |
5.8182870507487 |
L(r)(E,1)/r! |
Ω |
0.047286709182414 |
Real period |
R |
0.43943841660955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5418e1 14448bg1 |
Quadratic twists by: -4 -3 |