Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550bk |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
2787953868800000000 = 230 · 58 · 172 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- -1 3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-480888,100067392] |
[a1,a2,a3,a4,a6] |
Generators |
[552:1424:1] |
Generators of the group modulo torsion |
j |
31484409585983905/7137161904128 |
j-invariant |
L |
5.0018736562753 |
L(r)(E,1)/r! |
Ω |
0.24020946775497 |
Real period |
R |
1.0411483158894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19550m1 |
Quadratic twists by: 5 |