Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512t |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1158377472 = -1 · 212 · 32 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336,2772] |
[a1,a2,a3,a4,a6] |
j |
-1027243729/282807 |
j-invariant |
L |
5.8591416129164 |
L(r)(E,1)/r! |
Ω |
1.4647854032291 |
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 |
1407a1 90048bj1 67536bx1 |
Quadratic twists by: -4 8 -3 |