Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1786d |
Isogeny class |
Conductor |
1786 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
21200 |
Modular degree for the optimal curve |
Δ |
-1408313065472 = -1 · 225 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 1 4 1 -4 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-550716,-157349872] |
[a1,a2,a3,a4,a6] |
j |
-18471699048587981865409/1408313065472 |
j-invariant |
L |
4.3813468314614 |
L(r)(E,1)/r! |
Ω |
0.087626936629228 |
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 |
14288e1 57152b1 16074d1 44650d1 |
Quadratic twists by: -4 8 -3 5 |