Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552b |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
458535168 = 28 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13095,-576774] |
[a1,a2,a3,a4,a6] |
j |
49284342000/91 |
j-invariant |
L |
1.7851849564322 |
L(r)(E,1)/r! |
Ω |
0.44629623910805 |
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 |
13104b2 52416bb2 6552o2 45864c2 |
Quadratic twists by: -4 8 -3 -7 |