Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040x |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-659527358330880 = -1 · 211 · 33 · 5 · 134 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10520,1300020] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-1014:1] |
Generators of the group modulo torsion |
j |
-62875617222962/322034842935 |
j-invariant |
L |
5.9619154643645 |
L(r)(E,1)/r! |
Ω |
0.44311794551641 |
Real period |
R |
1.1212055248929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520b3 |
Quadratic twists by: -4 |