Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344r |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36051418368 = 28 · 32 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34708,2477264] |
[a1,a2,a3,a4,a6] |
Generators |
[80:468:1] |
Generators of the group modulo torsion |
j |
153531250000/1197 |
j-invariant |
L |
5.9062098617508 |
L(r)(E,1)/r! |
Ω |
1.0393127158159 |
Real period |
R |
2.8414017128204 |
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 |
44688j2 67032cb2 3192e2 |
Quadratic twists by: -4 -3 -7 |