Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344ba |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
221932531473408 = 210 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15696,248508] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:980:1] |
Generators of the group modulo torsion |
j |
3550014724/1842183 |
j-invariant |
L |
6.2964309542817 |
L(r)(E,1)/r! |
Ω |
0.49271038606705 |
Real period |
R |
1.5973965468187 |
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 |
44688bj2 67032bc2 3192p2 |
Quadratic twists by: -4 -3 -7 |