Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20216g |
Isogeny class |
Conductor |
20216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
5006411536 = 24 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 4 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13116,-582547] |
[a1,a2,a3,a4,a6] |
j |
119681400064/2401 |
j-invariant |
L |
1.7844605757478 |
L(r)(E,1)/r! |
Ω |
0.44611514393695 |
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 |
40432i1 20216c1 |
Quadratic twists by: -4 -19 |