Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
156b |
Isogeny class |
Conductor |
156 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12 |
Modular degree for the optimal curve |
Δ |
151632 = 24 · 36 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-4] |
[a1,a2,a3,a4,a6] |
j |
16384000/9477 |
j-invariant |
L |
1.3761495936397 |
L(r)(E,1)/r! |
Ω |
2.7522991872794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
624g1 2496a1 468d1 3900c1 |
Quadratic twists by: -4 8 -3 5 |