Atkin-Lehner |
2- 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698ba |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
973440 |
Modular degree for the optimal curve |
Δ |
-1.8328539734458E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1226369,562157713] |
[a1,a2,a3,a4,a6] |
j |
-10363240560376733931/931186289410048 |
j-invariant |
L |
5.5405354827273 |
L(r)(E,1)/r! |
Ω |
0.21309751856811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40698d1 |
Quadratic twists by: -3 |