Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1856n |
Isogeny class |
Conductor |
1856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13778944 = -1 · 214 · 292 |
Discriminant |
Eigenvalues |
2- 2 2 -4 -6 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,-175] |
[a1,a2,a3,a4,a6] |
Generators |
[25:120:1] |
Generators of the group modulo torsion |
j |
-35152/841 |
j-invariant |
L |
3.7954963937677 |
L(r)(E,1)/r! |
Ω |
0.96600700700124 |
Real period |
R |
1.9645283969264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1856e2 464e1 16704cp2 46400cf2 |
Quadratic twists by: -4 8 -3 5 |