Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13224b |
Isogeny class |
Conductor |
13224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-3803513328 = -1 · 24 · 33 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -1 -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,-2895] |
[a1,a2,a3,a4,a6] |
Generators |
[16:57:1] |
Generators of the group modulo torsion |
j |
9624416000/237719583 |
j-invariant |
L |
6.0614400949613 |
L(r)(E,1)/r! |
Ω |
0.67645943765848 |
Real period |
R |
0.74671145052227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26448a1 105792i1 39672n1 |
Quadratic twists by: -4 8 -3 |