Atkin-Lehner |
7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19663b |
Isogeny class |
Conductor |
19663 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-402925920964091 = -1 · 73 · 537 |
Discriminant |
Eigenvalues |
-2 0 -3 7- 3 -6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87079,-9937540] |
[a1,a2,a3,a4,a6] |
j |
-3294646272/18179 |
j-invariant |
L |
0.83348765405337 |
L(r)(E,1)/r! |
Ω |
0.13891460900889 |
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 |
371b1 |
Quadratic twists by: 53 |