Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330de |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44568924257812500 = 22 · 39 · 510 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-693713,-221985683] |
[a1,a2,a3,a4,a6] |
j |
5468613271737741/6601562500 |
j-invariant |
L |
5.2940264112013 |
L(r)(E,1)/r! |
Ω |
0.16543832542384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330l2 57330dj2 |
Quadratic twists by: -3 -7 |