Atkin-Lehner |
2- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264t |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-24831817278291968 = -1 · 235 · 75 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 5 -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1444129,-667532095] |
[a1,a2,a3,a4,a6] |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
0.68859853442643 |
L(r)(E,1)/r! |
Ω |
0.068859853442643 |
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 |
19264e1 4816e1 |
Quadratic twists by: -4 8 |