Atkin-Lehner |
3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187b |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12487749183 = 34 · 7 · 132 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6377,-198592] |
[a1,a2,a3,a4,a6] |
j |
28679872714374673/12487749183 |
j-invariant |
L |
1.0685293125928 |
L(r)(E,1)/r! |
Ω |
0.53426465629641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992cg4 15561l3 129675w4 36309ba4 |
Quadratic twists by: -4 -3 5 -7 |