Atkin-Lehner |
5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825d |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-275339332296875 = -1 · 56 · 73 · 116 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11+ -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12917,-568307] |
[a1,a2,a3,a4,a6] |
Generators |
[61:665:1] [137:1937:1] |
Generators of the group modulo torsion |
j |
15252992000000/17621717267 |
j-invariant |
L |
6.0997329049267 |
L(r)(E,1)/r! |
Ω |
0.29591232898354 |
Real period |
R |
5.1533277828266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2233b2 |
Quadratic twists by: 5 |