Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950bb |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-532170000000 = -1 · 27 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13438,599492] |
[a1,a2,a3,a4,a6] |
Generators |
[62:44:1] |
Generators of the group modulo torsion |
j |
-17175508997401/34058880 |
j-invariant |
L |
7.5208300779104 |
L(r)(E,1)/r! |
Ω |
0.92667536392479 |
Real period |
R |
0.048309092314966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600bd1 32850l1 2190c1 |
Quadratic twists by: -4 -3 5 |