Atkin-Lehner |
5+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825l |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
758891824817328125 = 56 · 712 · 112 · 29 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-529142,-141967109] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:2663:1] |
Generators of the group modulo torsion |
j |
1048626554636928177/48569076788309 |
j-invariant |
L |
5.0460412510691 |
L(r)(E,1)/r! |
Ω |
0.17752127053453 |
Real period |
R |
1.1843747972406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2233a3 |
Quadratic twists by: 5 |