Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576d |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
331928246780928 = 210 · 39 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65259,6356502] |
[a1,a2,a3,a4,a6] |
j |
1524943337004/16468459 |
j-invariant |
L |
2.1745555507043 |
L(r)(E,1)/r! |
Ω |
0.54363888767608 |
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 |
19152g1 76608x1 9576q1 67032g1 |
Quadratic twists by: -4 8 -3 -7 |