Atkin-Lehner |
2- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690bb |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
43658577568000 = 28 · 53 · 196 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25338,1525817] |
[a1,a2,a3,a4,a6] |
j |
38238692409/928000 |
j-invariant |
L |
2.5592527271088 |
L(r)(E,1)/r! |
Ω |
0.63981317550336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
290a1 |
Quadratic twists by: -19 |