Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820p |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1845083130428160 = -1 · 28 · 36 · 5 · 711 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14112,1963332] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
2.0366427995196 |
L(r)(E,1)/r! |
Ω |
0.3394404665866 |
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 |
35280ep1 980i1 44100ch1 1260i1 |
Quadratic twists by: -4 -3 5 -7 |