Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550z |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
22504083200 = 28 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -1 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4990,136717] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1491:1] |
Generators of the group modulo torsion |
j |
549545611868505/900163328 |
j-invariant |
L |
5.9472776583533 |
L(r)(E,1)/r! |
Ω |
1.2044106448848 |
Real period |
R |
0.10287323381653 |
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 |
19550t1 |
Quadratic twists by: 5 |