Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760j |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-895141388846315520 = -1 · 211 · 37 · 5 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196557,30774382] |
[a1,a2,a3,a4,a6] |
Generators |
[5942:459342:1] |
Generators of the group modulo torsion |
j |
562511980386718/599562079935 |
j-invariant |
L |
5.6211087580874 |
L(r)(E,1)/r! |
Ω |
0.18568146071738 |
Real period |
R |
3.7841074280991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ba5 10920t6 |
Quadratic twists by: -4 -3 |