Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858n |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-23059712 = -1 · 28 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 1 0 4 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23,233] |
[a1,a2,a3,a4,a6] |
Generators |
[14:45:1] |
Generators of the group modulo torsion |
j |
-614125/10496 |
j-invariant |
L |
8.811818816925 |
L(r)(E,1)/r! |
Ω |
1.8035296374772 |
Real period |
R |
0.30536713376565 |
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 |
110864t1 124722z1 13858g1 |
Quadratic twists by: -4 -3 13 |