Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167k |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
842030532189 = 313 · 7 · 11 · 193 |
Discriminant |
Eigenvalues |
2 3- -3 7- 11- 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3909,83065] |
[a1,a2,a3,a4,a6] |
j |
9061356040192/1155048741 |
j-invariant |
L |
3.4357435957607 |
L(r)(E,1)/r! |
Ω |
0.85893589894017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389a1 92169bn1 |
Quadratic twists by: -3 -7 |