Atkin-Lehner |
2- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8410m |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
1951120 = 24 · 5 · 293 |
Discriminant |
Eigenvalues |
2- 0 5- 4 2 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42,89] |
[a1,a2,a3,a4,a6] |
j |
328509/80 |
j-invariant |
L |
4.931461408296 |
L(r)(E,1)/r! |
Ω |
2.465730704148 |
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 |
67280z1 75690k1 42050k1 8410f1 |
Quadratic twists by: -4 -3 5 29 |