Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13167o |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
126386649081 = 310 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3614,82748] |
[a1,a2,a3,a4,a6] |
Generators |
[6:244:1] |
Generators of the group modulo torsion |
j |
7158927499417/173369889 |
j-invariant |
L |
3.4482931811353 |
L(r)(E,1)/r! |
Ω |
1.04134384441 |
Real period |
R |
1.6556938419744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389i2 92169bf2 |
Quadratic twists by: -3 -7 |