Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064p |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5327741952 = 210 · 38 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16944,843300] |
[a1,a2,a3,a4,a6] |
Generators |
[78:48:1] [-72:1302:1] |
Generators of the group modulo torsion |
j |
525408645438148/5202873 |
j-invariant |
L |
9.2903099354359 |
L(r)(E,1)/r! |
Ω |
1.2274397935622 |
Real period |
R |
0.94610647953605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032e3 114192p4 |
Quadratic twists by: -4 -3 |