Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167i |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6104895770730141 = 37 · 7 · 115 · 195 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11+ 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-472323,124884945] |
[a1,a2,a3,a4,a6] |
Generators |
[6438874:17728781:17576] |
Generators of the group modulo torsion |
j |
15985030403346927616/8374342621029 |
j-invariant |
L |
8.874094261491 |
L(r)(E,1)/r! |
Ω |
0.41916975265308 |
Real period |
R |
10.58532277833 |
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 |
4389k2 92169x2 |
Quadratic twists by: -3 -7 |