Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925s |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7521767666015625 = 32 · 510 · 112 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-361501,83524523] |
[a1,a2,a3,a4,a6] |
Generators |
[-687:3127:1] |
Generators of the group modulo torsion |
j |
334372435208533441/481393130625 |
j-invariant |
L |
7.3656983703459 |
L(r)(E,1)/r! |
Ω |
0.41682388700719 |
Real period |
R |
4.4177520770414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71775bf2 4785a2 |
Quadratic twists by: -3 5 |