Atkin-Lehner |
3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
52185l |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-12534460571069325 = -1 · 35 · 52 · 78 · 713 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-309608,66500543] |
[a1,a2,a3,a4,a6] |
Generators |
[249:2080:1] |
Generators of the group modulo torsion |
j |
-569342884647481/2174309325 |
j-invariant |
L |
9.7683135789163 |
L(r)(E,1)/r! |
Ω |
0.40186029662916 |
Real period |
R |
0.81025783179613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52185b1 |
Quadratic twists by: -7 |