Atkin-Lehner |
5- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825q |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-42741015625 = -1 · 58 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 11+ 5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,10173] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:86:1] |
Generators of the group modulo torsion |
j |
-9765625/109417 |
j-invariant |
L |
4.5812220060859 |
L(r)(E,1)/r! |
Ω |
0.97160977091315 |
Real period |
R |
1.5716947768586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825m1 |
Quadratic twists by: 5 |