Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104a |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
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 |
[546:3553:8] |
Generators of the group modulo torsion |
j |
49284342000/91 |
j-invariant |
L |
4.5523428434541 |
L(r)(E,1)/r! |
Ω |
0.77300776136205 |
Real period |
R |
5.8891295417691 |
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 |
6552o2 52416du2 13104b2 91728f2 |
Quadratic twists by: -4 8 -3 -7 |