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 |
22634713540140625 = 56 · 76 · 114 · 292 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90517,7604016] |
[a1,a2,a3,a4,a6] |
Generators |
[-658:30779:8] |
Generators of the group modulo torsion |
j |
5249244962308257/1448621666569 |
j-invariant |
L |
5.0460412510691 |
L(r)(E,1)/r! |
Ω |
0.35504254106906 |
Real period |
R |
2.3687495944811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2233a2 |
Quadratic twists by: 5 |