Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
66564f |
Isogeny class |
Conductor |
66564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-4108957994817854208 = -1 · 28 · 310 · 437 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177504,-93182204] |
[a1,a2,a3,a4,a6] |
j |
524288/3483 |
j-invariant |
L |
1.477692445801 |
L(r)(E,1)/r! |
Ω |
0.12314103716155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22188c1 1548d1 |
Quadratic twists by: -3 -43 |