Atkin-Lehner |
2+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858g |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-111304825419008 = -1 · 28 · 139 · 41 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3891,515790] |
[a1,a2,a3,a4,a6] |
Generators |
[885:17120:27] |
Generators of the group modulo torsion |
j |
-614125/10496 |
j-invariant |
L |
3.586958239907 |
L(r)(E,1)/r! |
Ω |
0.50020912190331 |
Real period |
R |
1.7927293220176 |
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 |
110864w1 124722bw1 13858n1 |
Quadratic twists by: -4 -3 13 |