Atkin-Lehner |
3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
45123j |
Isogeny class |
Conductor |
45123 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-10208252141763 = -1 · 3 · 136 · 893 |
Discriminant |
Eigenvalues |
0 3- 0 -2 -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4507,-98848] |
[a1,a2,a3,a4,a6] |
Generators |
[30:253:1] |
Generators of the group modulo torsion |
j |
2097152000/2114907 |
j-invariant |
L |
4.3746487881717 |
L(r)(E,1)/r! |
Ω |
0.39336468342668 |
Real period |
R |
1.8535170087277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267a2 |
Quadratic twists by: 13 |