Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13132a |
Isogeny class |
Conductor |
13132 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7- -2 7 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,-178144] |
[a1,a2,a3,a4,a6] |
Generators |
[-1185:343:27] |
Generators of the group modulo torsion |
j |
35995648/67 |
j-invariant |
L |
5.8564142577748 |
L(r)(E,1)/r! |
Ω |
0.543755999519 |
Real period |
R |
1.7950496984417 |
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 |
52528bo1 118188t1 13132b1 |
Quadratic twists by: -4 -3 -7 |