Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344u |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-329702238114816 = -1 · 210 · 3 · 77 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16056,-381984] |
[a1,a2,a3,a4,a6] |
Generators |
[127662:3173885:216] |
Generators of the group modulo torsion |
j |
3799448348/2736741 |
j-invariant |
L |
6.1341606036308 |
L(r)(E,1)/r! |
Ω |
0.30456930841795 |
Real period |
R |
10.07022118462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688n3 67032ce3 3192a4 |
Quadratic twists by: -4 -3 -7 |