Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53404h |
Isogeny class |
Conductor |
53404 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1333177456 = -1 · 24 · 132 · 793 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,178,1561] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-79:1] |
Generators of the group modulo torsion |
j |
229369088/493039 |
j-invariant |
L |
3.2086265620717 |
L(r)(E,1)/r! |
Ω |
1.0572472533489 |
Real period |
R |
0.33720973152655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53404g2 |
Quadratic twists by: 13 |