Atkin-Lehner |
2- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
13286m |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
2345215437656 = 23 · 73 · 133 · 733 |
Discriminant |
Eigenvalues |
2- -2 3 7- 3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3399,19441] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:121:1] |
Generators of the group modulo torsion |
j |
4342953621582577/2345215437656 |
j-invariant |
L |
6.4547882624454 |
L(r)(E,1)/r! |
Ω |
0.71411923276087 |
Real period |
R |
1.0043122533677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106288n2 119574s2 93002n2 |
Quadratic twists by: -4 -3 -7 |