Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200s |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1379450250000000000 = -1 · 210 · 38 · 512 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228675,70460750] |
[a1,a2,a3,a4,a6] |
Generators |
[1910:81250:1] |
Generators of the group modulo torsion |
j |
-113378906596/118265625 |
j-invariant |
L |
7.1182197619265 |
L(r)(E,1)/r! |
Ω |
0.24584588792111 |
Real period |
R |
3.6192489439783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bj2 17400w2 10440ba2 |
Quadratic twists by: -4 -3 5 |