Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5187c |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
242144721 = 34 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-329,2040] |
[a1,a2,a3,a4,a6] |
j |
3957057343513/242144721 |
j-invariant |
L |
1.7283005935547 |
L(r)(E,1)/r! |
Ω |
1.7283005935547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992ci2 15561o2 129675v2 36309t2 |
Quadratic twists by: -4 -3 5 -7 |