Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128v |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
499968 |
Modular degree for the optimal curve |
Δ |
11421916773409872 = 24 · 33 · 319 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278049,-56105280] |
[a1,a2,a3,a4,a6] |
Generators |
[-1664845034464326710332031968:-483065496214659308339256223:5777208610420178035965952] |
Generators of the group modulo torsion |
j |
5619712/27 |
j-invariant |
L |
4.4862865360115 |
L(r)(E,1)/r! |
Ω |
0.20796711499591 |
Real period |
R |
43.144191677539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11532f1 46128ba1 |
Quadratic twists by: -4 -31 |