Atkin-Lehner |
3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20349i |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
17015689098261 = 312 · 73 · 173 · 19 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28776,-1868346] |
[a1,a2,a3,a4,a6] |
j |
3614826507010048/23341137309 |
j-invariant |
L |
2.2001999306674 |
L(r)(E,1)/r! |
Ω |
0.36669998844456 |
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 |
6783f1 |
Quadratic twists by: -3 |