Atkin-Lehner |
2- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
13778b |
Isogeny class |
Conductor |
13778 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
250992 |
Modular degree for the optimal curve |
Δ |
-1.1964176337123E+19 |
Discriminant |
Eigenvalues |
2- -1 0 -1 3 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-416928,195866497] |
[a1,a2,a3,a4,a6] |
j |
-42875/64 |
j-invariant |
L |
2.435388436396 |
L(r)(E,1)/r! |
Ω |
0.20294903636634 |
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 |
110224f1 124002d1 13778a1 |
Quadratic twists by: -4 -3 -83 |