Atkin-Lehner |
2+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102080h |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-51040000000000 = -1 · 214 · 510 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2639,338865] |
[a1,a2,a3,a4,a6] |
Generators |
[-26424:321317:729] |
Generators of the group modulo torsion |
j |
124010187824/3115234375 |
j-invariant |
L |
8.6393976975957 |
L(r)(E,1)/r! |
Ω |
0.47493511771211 |
Real period |
R |
9.0953452105612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102080be2 12760d2 |
Quadratic twists by: -4 8 |