Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138ba |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1771954002133056 = 26 · 34 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-92197,10575425] |
[a1,a2,a3,a4,a6] |
j |
3590714269297/73410624 |
j-invariant |
L |
5.6490592167868 |
L(r)(E,1)/r! |
Ω |
0.47075493473223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97104bi2 36414bh2 84966cw2 714f2 |
Quadratic twists by: -4 -3 -7 17 |