Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53404g |
Isogeny class |
Conductor |
53404 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-6434992943217904 = -1 · 24 · 138 · 793 |
Discriminant |
Eigenvalues |
2- -2 3 2 -3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30026,3309333] |
[a1,a2,a3,a4,a6] |
Generators |
[4281:280371:1] |
Generators of the group modulo torsion |
j |
229369088/493039 |
j-invariant |
L |
5.4193276960008 |
L(r)(E,1)/r! |
Ω |
0.29322762944561 |
Real period |
R |
2.0535156353043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53404h2 |
Quadratic twists by: 13 |