Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bv |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2307647377152 = 28 · 37 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3512055,-2533320142] |
[a1,a2,a3,a4,a6] |
Generators |
[-11521114:-5083:10648] |
Generators of the group modulo torsion |
j |
25670843788818706000/12365223 |
j-invariant |
L |
5.6662420507103 |
L(r)(E,1)/r! |
Ω |
0.11028316657532 |
Real period |
R |
8.5631715558558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13572d4 18096u4 |
Quadratic twists by: -4 -3 |