Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550m |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
178429047603200 = 230 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19235,792845] |
[a1,a2,a3,a4,a6] |
Generators |
[7974:553069:729] |
Generators of the group modulo torsion |
j |
31484409585983905/7137161904128 |
j-invariant |
L |
5.7995726810555 |
L(r)(E,1)/r! |
Ω |
0.53712469873916 |
Real period |
R |
2.6993604532939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19550bk1 |
Quadratic twists by: 5 |