Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104x |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5416446672 = 24 · 312 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1830,29923] |
[a1,a2,a3,a4,a6] |
Generators |
[27:14:1] |
Generators of the group modulo torsion |
j |
58107136000/464373 |
j-invariant |
L |
5.0731899713481 |
L(r)(E,1)/r! |
Ω |
1.3635034435393 |
Real period |
R |
1.8603509933863 |
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 |
6552s1 52416gi1 4368l1 91728be1 |
Quadratic twists by: -4 8 -3 -7 |