Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552o |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
628992 = 28 · 33 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1455,21362] |
[a1,a2,a3,a4,a6] |
Generators |
[19:24:1] |
Generators of the group modulo torsion |
j |
49284342000/91 |
j-invariant |
L |
4.1926822637594 |
L(r)(E,1)/r! |
Ω |
2.4740946062296 |
Real period |
R |
0.84731647957248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104a2 52416ba2 6552b2 45864ba2 |
Quadratic twists by: -4 8 -3 -7 |