Atkin-Lehner |
2- 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19836f |
Isogeny class |
Conductor |
19836 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-22571249197824 = -1 · 28 · 38 · 19 · 294 |
Discriminant |
Eigenvalues |
2- 3- -1 1 5 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3912,208276] |
[a1,a2,a3,a4,a6] |
j |
35477479424/120945051 |
j-invariant |
L |
1.9195827575099 |
L(r)(E,1)/r! |
Ω |
0.47989568937746 |
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 |
79344bf1 6612c1 |
Quadratic twists by: -4 -3 |