Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138ba |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
348508897558419528 = 23 · 32 · 74 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-196237,-17702647] |
[a1,a2,a3,a4,a6] |
j |
34623662831857/14438442312 |
j-invariant |
L |
5.6490592167868 |
L(r)(E,1)/r! |
Ω |
0.23537746736611 |
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 |
97104bi3 36414bh3 84966cw3 714f3 |
Quadratic twists by: -4 -3 -7 17 |