Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104b |
Isogeny class |
Conductor |
13104 |
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] |
Generators |
[-42:1026:1] |
Generators of the group modulo torsion |
j |
49284342000/91 |
j-invariant |
L |
4.5254664896465 |
L(r)(E,1)/r! |
Ω |
1.4284191869073 |
Real period |
R |
3.1681641713626 |
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 |
6552b2 52416dv2 13104a2 91728e2 |
Quadratic twists by: -4 8 -3 -7 |