Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5512a |
Isogeny class |
Conductor |
5512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
928 |
Modular degree for the optimal curve |
Δ |
-18343936 = -1 · 211 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -3 2 5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61,94] |
[a1,a2,a3,a4,a6] |
Generators |
[6:26:1] |
Generators of the group modulo torsion |
j |
12256974/8957 |
j-invariant |
L |
3.3873467454984 |
L(r)(E,1)/r! |
Ω |
1.3878665119636 |
Real period |
R |
1.2203431368575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11024a1 44096h1 49608n1 71656e1 |
Quadratic twists by: -4 8 -3 13 |