Atkin-Lehner |
2+ 3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386i |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
128290046976 = 210 · 32 · 72 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5695,-164974] |
[a1,a2,a3,a4,a6] |
Generators |
[1660:66737:1] |
Generators of the group modulo torsion |
j |
20421858870283753/128290046976 |
j-invariant |
L |
5.0974318169328 |
L(r)(E,1)/r! |
Ω |
0.54979350776927 |
Real period |
R |
4.6357693796851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67158bl2 |
Quadratic twists by: -3 |