Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18291g |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-342425158980723 = -1 · 32 · 76 · 136 · 67 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-57603,-5414488] |
[a1,a2,a3,a4,a6] |
Generators |
[294:1774:1] |
Generators of the group modulo torsion |
j |
-21138129711271936000/342425158980723 |
j-invariant |
L |
5.3272912162757 |
L(r)(E,1)/r! |
Ω |
0.15393585894339 |
Real period |
R |
0.48065575032013 |
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 |
54873q2 128037c2 |
Quadratic twists by: -3 -7 |