Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550b |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-89930000000000 = -1 · 210 · 510 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -4 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33451,2395798] |
[a1,a2,a3,a4,a6] |
Generators |
[143:664:1] |
Generators of the group modulo torsion |
j |
-423869650225/9208832 |
j-invariant |
L |
3.6681810195497 |
L(r)(E,1)/r! |
Ω |
0.60337682882028 |
Real period |
R |
1.5198549415304 |
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 |
19550bn1 |
Quadratic twists by: 5 |