Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400ft |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-10212065280000000 = -1 · 220 · 38 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44925,-3194750] |
[a1,a2,a3,a4,a6] |
Generators |
[71:594:1] [215:4050:1] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
9.4453441042708 |
L(r)(E,1)/r! |
Ω |
0.22102680574973 |
Real period |
R |
5.3417412835151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550g1 22800dl1 13680bf1 |
Quadratic twists by: -4 -3 5 |