Atkin-Lehner |
2- 3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748g |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-45384406664688 = -1 · 24 · 314 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4090,-309459] |
[a1,a2,a3,a4,a6] |
j |
472789110043904/2836525416543 |
j-invariant |
L |
1.2788418850954 |
L(r)(E,1)/r! |
Ω |
0.31971047127385 |
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 |
82992cs1 62244v1 |
Quadratic twists by: -4 -3 |