Atkin-Lehner |
3- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681m |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1768156161203601 = 316 · 132 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30299,-158902] |
[a1,a2,a3,a4,a6] |
Generators |
[2026:89824:1] |
Generators of the group modulo torsion |
j |
4219564513994857/2425454267769 |
j-invariant |
L |
5.0116660509706 |
L(r)(E,1)/r! |
Ω |
0.39335692056961 |
Real period |
R |
6.3703799133815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999597 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19227f2 |
Quadratic twists by: -3 |