Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760x |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-19760 = -1 · 24 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -2 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-10] |
[a1,a2,a3,a4,a6] |
j |
-1048576/1235 |
j-invariant |
L |
1.502718204742 |
L(r)(E,1)/r! |
Ω |
1.502718204742 |
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 |
4940h1 79040bn1 98800bj1 |
Quadratic twists by: -4 8 5 |