Atkin-Lehner |
2- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8968b |
Isogeny class |
Conductor |
8968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
1147904 = 210 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 0 -2 4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371,2750] |
[a1,a2,a3,a4,a6] |
j |
5514999588/1121 |
j-invariant |
L |
1.3338744885234 |
L(r)(E,1)/r! |
Ω |
2.6677489770468 |
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 |
17936b1 71744e1 80712e1 |
Quadratic twists by: -4 8 -3 |