Atkin-Lehner |
2- 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782n |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-9938611934208 = -1 · 210 · 34 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 -6 -7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3825,122901] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1898:1] [-23:164:1] |
Generators of the group modulo torsion |
j |
253756362691/407503872 |
j-invariant |
L |
8.6894534931964 |
L(r)(E,1)/r! |
Ω |
0.49465673519865 |
Real period |
R |
0.14638861111168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85782i1 |
Quadratic twists by: 29 |